Extensions 1→N→G→Q→1 with N=C32 and Q=C22⋊C8

Direct product G=N×Q with N=C32 and Q=C22⋊C8
dρLabelID
C32×C22⋊C8144C3^2xC2^2:C8288,316

Semidirect products G=N:Q with N=C32 and Q=C22⋊C8
extensionφ:Q→Aut NdρLabelID
C321(C22⋊C8) = S32⋊C8φ: C22⋊C8/C4D4 ⊆ Aut C32244C3^2:1(C2^2:C8)288,374
C322(C22⋊C8) = C22⋊F9φ: C22⋊C8/C22C8 ⊆ Aut C32248+C3^2:2(C2^2:C8)288,867
C323(C22⋊C8) = C62.6(C2×C4)φ: C22⋊C8/C2×C4C4 ⊆ Aut C3248C3^2:3(C2^2:C8)288,426
C324(C22⋊C8) = C12.77D12φ: C22⋊C8/C2×C4C22 ⊆ Aut C3296C3^2:4(C2^2:C8)288,204
C325(C22⋊C8) = C12.78D12φ: C22⋊C8/C2×C4C22 ⊆ Aut C3248C3^2:5(C2^2:C8)288,205
C326(C22⋊C8) = C623C8φ: C22⋊C8/C23C4 ⊆ Aut C3248C3^2:6(C2^2:C8)288,435
C327(C22⋊C8) = C3×D6⋊C8φ: C22⋊C8/C2×C8C2 ⊆ Aut C3296C3^2:7(C2^2:C8)288,254
C328(C22⋊C8) = C12.60D12φ: C22⋊C8/C2×C8C2 ⊆ Aut C32144C3^2:8(C2^2:C8)288,295
C329(C22⋊C8) = C3×C12.55D4φ: C22⋊C8/C22×C4C2 ⊆ Aut C3248C3^2:9(C2^2:C8)288,264
C3210(C22⋊C8) = C627C8φ: C22⋊C8/C22×C4C2 ⊆ Aut C32144C3^2:10(C2^2:C8)288,305


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