Extensions 1→N→G→Q→1 with N=C3 and Q=C8⋊4Q8

Direct product G=N×Q with N=C3 and Q=C8⋊4Q8
dρLabelID
C3×C8⋊4Q8192C3xC8:4Q8192,879

Semidirect products G=N:Q with N=C3 and Q=C8⋊4Q8
extensionφ:Q→Aut NdρLabelID
C3⋊1(C8⋊4Q8) = C24⋊12Q8φ: C8⋊4Q8/C4×C8 → C2 ⊆ Aut C3192C3:1(C8:4Q8)192,238
C3⋊2(C8⋊4Q8) = C24⋊Q8φ: C8⋊4Q8/C8⋊C4 → C2 ⊆ Aut C3192C3:2(C8:4Q8)192,260
C3⋊3(C8⋊4Q8) = C42.27D6φ: C8⋊4Q8/C4⋊C8 → C2 ⊆ Aut C3192C3:3(C8:4Q8)192,387
C3⋊4(C8⋊4Q8) = C42.198D6φ: C8⋊4Q8/C4⋊C8 → C2 ⊆ Aut C3192C3:4(C8:4Q8)192,390
C3⋊5(C8⋊4Q8) = C42.210D6φ: C8⋊4Q8/C4×Q8 → C2 ⊆ Aut C3192C3:5(C8:4Q8)192,583


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