Extensions 1→N→G→Q→1 with N=C₂×C₉⋊Dic₃ and Q=C₂

Direct product G=N×Q with N=C₂×C₉⋊Dic₃ and Q=C₂

		d	ρ	Label	ID
C₂²×C₉⋊Dic₃		432		C2^2xC9:Dic3	432,396

Semidirect products G=N:Q with N=C₂×C₉⋊Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₉⋊Dic₃)⋊₁C₂ = D₁₈⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊Dic₃	144		(C2xC9:Dic3):1C2	432,91
(C₂×C₉⋊Dic₃)⋊₂C₂ = D₆⋊Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊Dic₃	144		(C2xC9:Dic3):2C2	432,93
(C₂×C₉⋊Dic₃)⋊₃C₂ = C₆.₁₁D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊Dic₃	216		(C2xC9:Dic3):3C2	432,183
(C₂×C₉⋊Dic₃)⋊₄C₂ = C₆².₁₂₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊Dic₃	216		(C2xC9:Dic3):4C2	432,198
(C₂×C₉⋊Dic₃)⋊₅C₂ = C₂×Dic₃×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊Dic₃	144		(C2xC9:Dic3):5C2	432,304
(C₂×C₉⋊Dic₃)⋊₆C₂ = C₂×S₃×Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊Dic₃	144		(C2xC9:Dic3):6C2	432,308
(C₂×C₉⋊Dic₃)⋊₇C₂ = D₁₈.₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊Dic₃	72	4-	(C2xC9:Dic3):7C2	432,310
(C₂×C₉⋊Dic₃)⋊₈C₂ = C₂×D₆⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊Dic₃	144		(C2xC9:Dic3):8C2	432,311
(C₂×C₉⋊Dic₃)⋊₉C₂ = C₃₆.₂₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊Dic₃	216		(C2xC9:Dic3):9C2	432,389
(C₂×C₉⋊Dic₃)⋊₁₀C₂ = C₂×C₆.D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊Dic₃	216		(C2xC9:Dic3):10C2	432,397
(C₂×C₉⋊Dic₃)⋊₁₁C₂ = C₂×C₄×C₉⋊S₃	φ: trivial image	216		(C2xC9:Dic3):11C2	432,381

Non-split extensions G=N.Q with N=C₂×C₉⋊Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₉⋊Dic₃).₁C₂ = Dic₃×Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊Dic₃	144		(C2xC9:Dic3).1C2	432,87
(C₂×C₉⋊Dic₃).₂C₂ = Dic₉⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊Dic₃	144		(C2xC9:Dic3).2C2	432,88
(C₂×C₉⋊Dic₃).₃C₂ = C₁₈.Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊Dic₃	144		(C2xC9:Dic3).3C2	432,89
(C₂×C₉⋊Dic₃).₄C₂ = Dic₃⋊Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊Dic₃	144		(C2xC9:Dic3).4C2	432,90
(C₂×C₉⋊Dic₃).₅C₂ = C₆.Dic₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊Dic₃	432		(C2xC9:Dic3).5C2	432,181
(C₂×C₉⋊Dic₃).₆C₂ = C₃₆⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊Dic₃	432		(C2xC9:Dic3).6C2	432,182
(C₂×C₉⋊Dic₃).₇C₂ = C₂×C₉⋊Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊Dic₃	144		(C2xC9:Dic3).7C2	432,303
(C₂×C₉⋊Dic₃).₈C₂ = C₂×C₁₂.D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊Dic₃	432		(C2xC9:Dic3).8C2	432,380
(C₂×C₉⋊Dic₃).₉C₂ = C₄×C₉⋊Dic₃	φ: trivial image	432		(C2xC9:Dic3).9C2	432,180

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁