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

Direct product G=N×Q with N=C32 and Q=C2×C4⋊C4
dρLabelID
C4⋊C4×C3×C6288C4:C4xC3xC6288,813

Semidirect products G=N:Q with N=C32 and Q=C2×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C321(C2×C4⋊C4) = C2×C3⋊S3.Q8φ: C2×C4⋊C4/C22D4 ⊆ Aut C3248C3^2:1(C2xC4:C4)288,882
C322(C2×C4⋊C4) = C2×C2.PSU3(𝔽2)φ: C2×C4⋊C4/C22Q8 ⊆ Aut C3248C3^2:2(C2xC4:C4)288,894
C323(C2×C4⋊C4) = C2×C4⋊(C32⋊C4)φ: C2×C4⋊C4/C2×C4C4 ⊆ Aut C3248C3^2:3(C2xC4:C4)288,933
C324(C2×C4⋊C4) = S3×Dic3⋊C4φ: C2×C4⋊C4/C2×C4C22 ⊆ Aut C3296C3^2:4(C2xC4:C4)288,524
C325(C2×C4⋊C4) = C62.53C23φ: C2×C4⋊C4/C2×C4C22 ⊆ Aut C3248C3^2:5(C2xC4:C4)288,531
C326(C2×C4⋊C4) = S3×C4⋊Dic3φ: C2×C4⋊C4/C2×C4C22 ⊆ Aut C3296C3^2:6(C2xC4:C4)288,537
C327(C2×C4⋊C4) = C62.70C23φ: C2×C4⋊C4/C2×C4C22 ⊆ Aut C3248C3^2:7(C2xC4:C4)288,548
C328(C2×C4⋊C4) = C2×Dic3⋊Dic3φ: C2×C4⋊C4/C23C22 ⊆ Aut C3296C3^2:8(C2xC4:C4)288,613
C329(C2×C4⋊C4) = C2×C62.C22φ: C2×C4⋊C4/C23C22 ⊆ Aut C3296C3^2:9(C2xC4:C4)288,615
C3210(C2×C4⋊C4) = C3×S3×C4⋊C4φ: C2×C4⋊C4/C4⋊C4C2 ⊆ Aut C3296C3^2:10(C2xC4:C4)288,662
C3211(C2×C4⋊C4) = C4⋊C4×C3⋊S3φ: C2×C4⋊C4/C4⋊C4C2 ⊆ Aut C32144C3^2:11(C2xC4:C4)288,748
C3212(C2×C4⋊C4) = C6×Dic3⋊C4φ: C2×C4⋊C4/C22×C4C2 ⊆ Aut C3296C3^2:12(C2xC4:C4)288,694
C3213(C2×C4⋊C4) = C6×C4⋊Dic3φ: C2×C4⋊C4/C22×C4C2 ⊆ Aut C3296C3^2:13(C2xC4:C4)288,696
C3214(C2×C4⋊C4) = C2×C6.Dic6φ: C2×C4⋊C4/C22×C4C2 ⊆ Aut C32288C3^2:14(C2xC4:C4)288,780
C3215(C2×C4⋊C4) = C2×C12⋊Dic3φ: C2×C4⋊C4/C22×C4C2 ⊆ Aut C32288C3^2:15(C2xC4:C4)288,782


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