Extensions 1→N→G→Q→1 with N=C3 and Q=C6×C4⋊C4

Direct product G=N×Q with N=C3 and Q=C6×C4⋊C4
dρLabelID
C4⋊C4×C3×C6288C4:C4xC3xC6288,813

Semidirect products G=N:Q with N=C3 and Q=C6×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C31(C6×C4⋊C4) = C3×S3×C4⋊C4φ: C6×C4⋊C4/C3×C4⋊C4C2 ⊆ Aut C396C3:1(C6xC4:C4)288,662
C32(C6×C4⋊C4) = C6×Dic3⋊C4φ: C6×C4⋊C4/C22×C12C2 ⊆ Aut C396C3:2(C6xC4:C4)288,694
C33(C6×C4⋊C4) = C6×C4⋊Dic3φ: C6×C4⋊C4/C22×C12C2 ⊆ Aut C396C3:3(C6xC4:C4)288,696

Non-split extensions G=N.Q with N=C3 and Q=C6×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C3.(C6×C4⋊C4) = C4⋊C4×C18central extension (φ=1)288C3.(C6xC4:C4)288,166

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