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

Direct product G=N×Q with N=C32 and Q=C4⋊C4
dρLabelID
C32×C4⋊C4144C3^2xC4:C4144,103

Semidirect products G=N:Q with N=C32 and Q=C4⋊C4
extensionφ:Q→Aut NdρLabelID
C32⋊1(C4⋊C4) = C3⋊S3.Q8φ: C4⋊C4/C2 → D4 ⊆ Aut C32244C3^2:1(C4:C4)144,116
C32⋊2(C4⋊C4) = C2.PSU3(𝔽2)φ: C4⋊C4/C2 → Q8 ⊆ Aut C32248+C3^2:2(C4:C4)144,120
C32⋊3(C4⋊C4) = C4⋊(C32⋊C4)φ: C4⋊C4/C4 → C4 ⊆ Aut C32244C3^2:3(C4:C4)144,133
C32⋊4(C4⋊C4) = Dic3⋊Dic3φ: C4⋊C4/C22 → C22 ⊆ Aut C3248C3^2:4(C4:C4)144,66
C32⋊5(C4⋊C4) = C62.C22φ: C4⋊C4/C22 → C22 ⊆ Aut C3248C3^2:5(C4:C4)144,67
C32⋊6(C4⋊C4) = C3×Dic3⋊C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C3248C3^2:6(C4:C4)144,77
C32⋊7(C4⋊C4) = C3×C4⋊Dic3φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C3248C3^2:7(C4:C4)144,78
C32⋊8(C4⋊C4) = C6.Dic6φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C32144C3^2:8(C4:C4)144,93
C32⋊9(C4⋊C4) = C12⋊Dic3φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C32144C3^2:9(C4:C4)144,94


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