Extensions 1→N→G→Q→1 with N=C₆ and Q=D₁₂

Direct product G=N×Q with N=C₆ and Q=D₁₂

		d	ρ	Label	ID
C₆×D₁₂		48		C6xD12	144,160

Semidirect products G=N:Q with N=C₆ and Q=D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁D₁₂ = C₂×C₁₂⋊S₃	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₆	72		C6:1D12	144,170
C₆⋊₂D₁₂ = C₂×C₃⋊D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₆	24		C6:2D12	144,151

Non-split extensions G=N.Q with N=C₆ and Q=D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁D₁₂ = Dic₃₆	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₆	144	2-	C6.1D12	144,4
C₆.₂D₁₂ = C₇₂⋊C₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₆	72	2	C6.2D12	144,7
C₆.₃D₁₂ = D₇₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₆	72	2+	C6.3D12	144,8
C₆.₄D₁₂ = C₄⋊Dic₉	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₆	144		C6.4D12	144,13
C₆.₅D₁₂ = D₁₈⋊C₄	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₆	72		C6.5D12	144,14
C₆.₆D₁₂ = C₂×D₃₆	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₆	72		C6.6D12	144,39
C₆.₇D₁₂ = C₂₄⋊₂S₃	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₆	72		C6.7D12	144,87
C₆.₈D₁₂ = C₃²⋊₅D₈	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₆	72		C6.8D12	144,88
C₆.₉D₁₂ = C₃²⋊₅Q₁₆	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₆	144		C6.9D12	144,89
C₆.₁₀D₁₂ = C₁₂⋊Dic₃	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₆	144		C6.10D12	144,94
C₆.₁₁D₁₂ = C₆.₁₁D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₆	72		C6.11D12	144,95
C₆.₁₂D₁₂ = C₃⋊D₂₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₆	24	4+	C6.12D12	144,57
C₆.₁₃D₁₂ = D₁₂.S₃	φ: D₁₂/D₆ → C₂ ⊆ Aut C₆	48	4-	C6.13D12	144,59
C₆.₁₄D₁₂ = C₃²⋊₅SD₁₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₆	24	4+	C6.14D12	144,60
C₆.₁₅D₁₂ = C₃²⋊₃Q₁₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₆	48	4-	C6.15D12	144,62
C₆.₁₆D₁₂ = D₆⋊Dic₃	φ: D₁₂/D₆ → C₂ ⊆ Aut C₆	48		C6.16D12	144,64
C₆.₁₇D₁₂ = C₆.D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₆	24		C6.17D12	144,65
C₆.₁₈D₁₂ = Dic₃⋊Dic₃	φ: D₁₂/D₆ → C₂ ⊆ Aut C₆	48		C6.18D12	144,66
C₆.₁₉D₁₂ = C₃×C₂₄⋊C₂	central extension (φ=1)	48	2	C6.19D12	144,71
C₆.₂₀D₁₂ = C₃×D₂₄	central extension (φ=1)	48	2	C6.20D12	144,72
C₆.₂₁D₁₂ = C₃×Dic₁₂	central extension (φ=1)	48	2	C6.21D12	144,73
C₆.₂₂D₁₂ = C₃×C₄⋊Dic₃	central extension (φ=1)	48		C6.22D12	144,78
C₆.₂₃D₁₂ = C₃×D₆⋊C₄	central extension (φ=1)	48		C6.23D12	144,79

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Extensions 1→N→G→Q→1 with N=C6 and Q=D12

Extensions 1→N→G→Q→1 with N=C₆ and Q=D₁₂