query: Automorphism of $D_8$
positive_passages.docid: 155669
positive_passages.text: $\mathrm{Aut}(D_4)$ is isomorphic to $D_4$
negative_passages.docid: 89415
negative_passages.text: Number of homomorphisms from $(\mathbb Q^+ , \,\cdot\,)$ to $(\mathbb Z_n , +)$
negative_passages.docid: 157031
negative_passages.text: Express $x^8-x$ as a product of irreducibles in $\Bbb Z_2[x]$
negative_passages.docid: 39866
negative_passages.text: Automorphism group of the quaternion group
negative_passages.docid: 78564
negative_passages.text: Prove: $D_{8n} \not\cong D_{4n} \times Z_2$.
negative_passages.docid: 134686
negative_passages.text: $D_3\oplus D_4$ not isomorphic to $D_{24}$
negative_passages.docid: 36965
negative_passages.text: Automorphism of rational numbers
negative_passages.docid: 151699
negative_passages.text: Group of inner automorphisms of a group $G$
negative_passages.docid: 148774
negative_passages.text: show elements of order 15 in $S_8$ satisfy a relation
negative_passages.docid: 38153
negative_passages.text: Looking for a simple proof that groups of order $2p$ are up to isomorphism $\mathbb{Z}_{2p}$ and $D_{p}$ .
negative_passages.docid: 129789
negative_passages.text: Find all Quotient (or Factor) Groups of $D_4$ (Dihedral Group of order $8$)
negative_passages.docid: 141124
negative_passages.text: Automorphisms of the ring $\Bbb Z[x]$ of polynomials with integer coefficients
negative_passages.docid: 111049
negative_passages.text: Groups with given automorphism groups
negative_passages.docid: 9140
negative_passages.text: Show $\operatorname{Aut}(C_2 \times C_2)$ is isomorphic to $S_3=D_6$
negative_passages.docid: 146990
negative_passages.text: How to find the number of automorphisms on $\mathbb Z_2\times \mathbb Z_4$
negative_passages.docid: 121449
negative_passages.text: An isomorphism from $GL_{2}(\mathbb{F_{2}})$ to $S_{3}$
negative_passages.docid: 157853
negative_passages.text: $Q_8$ is isomorphic to a subgroup of $S_8$, but not isomorphic to a subgroup of $S_n$ for $n\leq 7$.