Extensions 1→N→G→Q→1 with N=C₁₂.D₉ and Q=C₂

Direct product G=N×Q with N=C₁₂.D₉ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₂.D₉		432		C2xC12.D9	432,380

Semidirect products G=N:Q with N=C₁₂.D₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₂.D₉⋊₁C₂ = D₃₆.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.D₉	144	4-	C12.D9:1C2	432,62
C₁₂.D₉⋊₂C₂ = C₂₄⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.D₉	216		C12.D9:2C2	432,171
C₁₂.D₉⋊₃C₂ = S₃×Dic₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.D₉	144	4-	C12.D9:3C2	432,284
C₁₂.D₉⋊₄C₂ = D₃₆⋊₅S₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.D₉	144	4-	C12.D9:4C2	432,288
C₁₂.D₉⋊₅C₂ = C₃₆.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.D₉	144	4-	C12.D9:5C2	432,71
C₁₂.D₉⋊₆C₂ = C₃₆.₁₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.D₉	216		C12.D9:6C2	432,190
C₁₂.D₉⋊₇C₂ = D₉×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.D₉	144	4-	C12.D9:7C2	432,280
C₁₂.D₉⋊₈C₂ = D₁₂⋊₅D₉	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.D₉	144	4-	C12.D9:8C2	432,285
C₁₂.D₉⋊₉C₂ = C₃₆.₂₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.D₉	216		C12.D9:9C2	432,389
C₁₂.D₉⋊₁₀C₂ = Q₈×C₉⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.D₉	216		C12.D9:10C2	432,392
C₁₂.D₉⋊₁₁C₂ = C₃₆.₇₀D₆	φ: trivial image	216		C12.D9:11C2	432,383

Non-split extensions G=N.Q with N=C₁₂.D₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₂.D₉.₁C₂ = C₃⋊Dic₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.D₉	144	4-	C12.D9.1C2	432,65
C₁₂.D₉.₂C₂ = C₂₄.D₉	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.D₉	432		C12.D9.2C2	432,168
C₁₂.D₉.₃C₂ = C₉⋊Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.D₉	144	4-	C12.D9.3C2	432,75
C₁₂.D₉.₄C₂ = C₃₆.₁₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₂.D₉	432		C12.D9.4C2	432,194

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