Extensions 1→N→G→Q→1 with N=C₁₈ and Q=D₁₂

Direct product G=N×Q with N=C₁₈ and Q=D₁₂

		d	ρ	Label	ID
C₁₈×D₁₂		144		C18xD12	432,346

Semidirect products G=N:Q with N=C₁₈ and Q=D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈⋊₁D₁₂ = C₂×C₃₆⋊S₃	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₈	216		C18:1D12	432,382
C₁₈⋊₂D₁₂ = C₂×C₉⋊D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₈	72		C18:2D12	432,312

Non-split extensions G=N.Q with N=C₁₈ and Q=D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.₁D₁₂ = Dic₁₀₈	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₈	432	2-	C18.1D12	432,4
C₁₈.₂D₁₂ = C₂₁₆⋊C₂	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₈	216	2	C18.2D12	432,7
C₁₈.₃D₁₂ = D₂₁₆	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₈	216	2+	C18.3D12	432,8
C₁₈.₄D₁₂ = C₄⋊Dic₂₇	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₈	432		C18.4D12	432,13
C₁₈.₅D₁₂ = D₅₄⋊C₄	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₈	216		C18.5D12	432,14
C₁₈.₆D₁₂ = C₂×D₁₀₈	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₈	216		C18.6D12	432,45
C₁₈.₇D₁₂ = C₂₄.D₉	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₈	432		C18.7D12	432,168
C₁₈.₈D₁₂ = C₂₄⋊D₉	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₈	216		C18.8D12	432,171
C₁₈.₉D₁₂ = C₇₂⋊₁S₃	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₈	216		C18.9D12	432,172
C₁₈.₁₀D₁₂ = C₃₆⋊Dic₃	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₈	432		C18.10D12	432,182
C₁₈.₁₁D₁₂ = C₆.₁₁D₃₆	φ: D₁₂/C₁₂ → C₂ ⊆ Aut C₁₈	216		C18.11D12	432,183
C₁₈.₁₂D₁₂ = C₉⋊D₂₄	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₈	72	4+	C18.12D12	432,69
C₁₈.₁₃D₁₂ = C₃₆.D₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₈	144	4-	C18.13D12	432,71
C₁₈.₁₄D₁₂ = C₁₈.D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₈	72	4+	C18.14D12	432,73
C₁₈.₁₅D₁₂ = C₉⋊Dic₁₂	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₈	144	4-	C18.15D12	432,75
C₁₈.₁₆D₁₂ = Dic₉⋊Dic₃	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₈	144		C18.16D12	432,88
C₁₈.₁₇D₁₂ = C₆.₁₈D₃₆	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₈	72		C18.17D12	432,92
C₁₈.₁₈D₁₂ = D₆⋊Dic₉	φ: D₁₂/D₆ → C₂ ⊆ Aut C₁₈	144		C18.18D12	432,93
C₁₈.₁₉D₁₂ = C₉×C₂₄⋊C₂	central extension (φ=1)	144	2	C18.19D12	432,111
C₁₈.₂₀D₁₂ = C₉×D₂₄	central extension (φ=1)	144	2	C18.20D12	432,112
C₁₈.₂₁D₁₂ = C₉×Dic₁₂	central extension (φ=1)	144	2	C18.21D12	432,113
C₁₈.₂₂D₁₂ = C₉×C₄⋊Dic₃	central extension (φ=1)	144		C18.22D12	432,133
C₁₈.₂₃D₁₂ = C₉×D₆⋊C₄	central extension (φ=1)	144		C18.23D12	432,135

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Extensions 1→N→G→Q→1 with N=C18 and Q=D12

Extensions 1→N→G→Q→1 with N=C₁₈ and Q=D₁₂