Extensions 1→N→G→Q→1 with N=C7 and Q=C8⋊2Q8

Direct product G=N×Q with N=C7 and Q=C8⋊2Q8
dρLabelID
C7×C8⋊2Q8448C7xC8:2Q8448,908

Semidirect products G=N:Q with N=C7 and Q=C8⋊2Q8
extensionφ:Q→Aut NdρLabelID
C7⋊1(C8⋊2Q8) = C56⋊8Q8φ: C8⋊2Q8/C4×C8 → C2 ⊆ Aut C7448C7:1(C8:2Q8)448,216
C7⋊2(C8⋊2Q8) = C56⋊2Q8φ: C8⋊2Q8/C2.D8 → C2 ⊆ Aut C7448C7:2(C8:2Q8)448,408
C7⋊3(C8⋊2Q8) = C28.17D8φ: C8⋊2Q8/C4⋊Q8 → C2 ⊆ Aut C7448C7:3(C8:2Q8)448,612


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