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

Direct product G=N×Q with N=C6 and Q=C4⋊C4
dρLabelID
C6×C4⋊C496C6xC4:C496,163

Semidirect products G=N:Q with N=C6 and Q=C4⋊C4
extensionφ:Q→Aut NdρLabelID
C6⋊1(C4⋊C4) = C2×Dic3⋊C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C696C6:1(C4:C4)96,130
C6⋊2(C4⋊C4) = C2×C4⋊Dic3φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C696C6:2(C4:C4)96,132

Non-split extensions G=N.Q with N=C6 and Q=C4⋊C4
extensionφ:Q→Aut NdρLabelID
C6.1(C4⋊C4) = C12⋊C8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C696C6.1(C4:C4)96,11
C6.2(C4⋊C4) = C6.Q16φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C696C6.2(C4:C4)96,14
C6.3(C4⋊C4) = C12.Q8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C696C6.3(C4:C4)96,15
C6.4(C4⋊C4) = Dic3⋊C8φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C696C6.4(C4:C4)96,21
C6.5(C4⋊C4) = C8⋊Dic3φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C696C6.5(C4:C4)96,24
C6.6(C4⋊C4) = C24⋊1C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C696C6.6(C4:C4)96,25
C6.7(C4⋊C4) = C24.C4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C6482C6.7(C4:C4)96,26
C6.8(C4⋊C4) = C12.53D4φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C6484C6.8(C4:C4)96,29
C6.9(C4⋊C4) = C6.C42φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C696C6.9(C4:C4)96,38
C6.10(C4⋊C4) = C3×C2.C42central extension (φ=1)96C6.10(C4:C4)96,45
C6.11(C4⋊C4) = C3×C4⋊C8central extension (φ=1)96C6.11(C4:C4)96,55
C6.12(C4⋊C4) = C3×C4.Q8central extension (φ=1)96C6.12(C4:C4)96,56
C6.13(C4⋊C4) = C3×C2.D8central extension (φ=1)96C6.13(C4:C4)96,57
C6.14(C4⋊C4) = C3×C8.C4central extension (φ=1)482C6.14(C4:C4)96,58

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