Extensions 1→N→G→Q→1 with N=C32⋊C4 and Q=C2×C4

Direct product G=N×Q with N=C32⋊C4 and Q=C2×C4
dρLabelID
C2×C4×C32⋊C448C2xC4xC3^2:C4288,932

Semidirect products G=N:Q with N=C32⋊C4 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
C32⋊C41(C2×C4) = C4×S3≀C2φ: C2×C4/C4C2 ⊆ Out C32⋊C4244C3^2:C4:1(C2xC4)288,877
C32⋊C42(C2×C4) = C2×C3⋊S3.Q8φ: C2×C4/C22C2 ⊆ Out C32⋊C448C3^2:C4:2(C2xC4)288,882
C32⋊C43(C2×C4) = C2×C2.PSU3(𝔽2)φ: C2×C4/C22C2 ⊆ Out C32⋊C448C3^2:C4:3(C2xC4)288,894

Non-split extensions G=N.Q with N=C32⋊C4 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
C32⋊C4.1(C2×C4) = C2.AΓL1(𝔽9)φ: C2×C4/C2C22 ⊆ Out C32⋊C4248+C3^2:C4.1(C2xC4)288,841
C32⋊C4.2(C2×C4) = PSU3(𝔽2)⋊C4φ: C2×C4/C2C22 ⊆ Out C32⋊C4368C3^2:C4.2(C2xC4)288,842
C32⋊C4.3(C2×C4) = F9⋊C4φ: C2×C4/C2C22 ⊆ Out C32⋊C4368C3^2:C4.3(C2xC4)288,843
C32⋊C4.4(C2×C4) = C4×F9φ: C2×C4/C4C2 ⊆ Out C32⋊C4368C3^2:C4.4(C2xC4)288,863
C32⋊C4.5(C2×C4) = C4×PSU3(𝔽2)φ: C2×C4/C4C2 ⊆ Out C32⋊C4368C3^2:C4.5(C2xC4)288,892
C32⋊C4.6(C2×C4) = C22×F9φ: C2×C4/C22C2 ⊆ Out C32⋊C436C3^2:C4.6(C2xC4)288,1030

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