Extensions 1→N→G→Q→1 with N=C₂²×C₉⋊S₃ and Q=C₂

Direct product G=N×Q with N=C₂²×C₉⋊S₃ and Q=C₂

		d	ρ	Label	ID
C₂³×C₉⋊S₃		216		C2^3xC9:S3	432,560

Semidirect products G=N:Q with N=C₂²×C₉⋊S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×C₉⋊S₃)⋊₁C₂ = C₂×C₃⋊D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₉⋊S₃	72		(C2^2xC9:S3):1C2	432,307
(C₂²×C₉⋊S₃)⋊₂C₂ = C₂×C₉⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₉⋊S₃	72		(C2^2xC9:S3):2C2	432,312
(C₂²×C₉⋊S₃)⋊₃C₂ = D₁₈⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₉⋊S₃	36	4+	(C2^2xC9:S3):3C2	432,315
(C₂²×C₉⋊S₃)⋊₄C₂ = C₂×C₃₆⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₉⋊S₃	216		(C2^2xC9:S3):4C2	432,382
(C₂²×C₉⋊S₃)⋊₅C₂ = D₄×C₉⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₉⋊S₃	108		(C2^2xC9:S3):5C2	432,388
(C₂²×C₉⋊S₃)⋊₆C₂ = C₂×C₆.D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₉⋊S₃	216		(C2^2xC9:S3):6C2	432,397
(C₂²×C₉⋊S₃)⋊₇C₂ = C₂²×S₃×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₉⋊S₃	72		(C2^2xC9:S3):7C2	432,544

Non-split extensions G=N.Q with N=C₂²×C₉⋊S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×C₉⋊S₃).₁C₂ = C₆.₁₈D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₉⋊S₃	72		(C2^2xC9:S3).1C2	432,92
(C₂²×C₉⋊S₃).₂C₂ = C₆.₁₁D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₉⋊S₃	216		(C2^2xC9:S3).2C2	432,183
(C₂²×C₉⋊S₃).₃C₂ = C₂×C₁₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²×C₉⋊S₃	72		(C2^2xC9:S3).3C2	432,306
(C₂²×C₉⋊S₃).₄C₂ = C₂×C₄×C₉⋊S₃	φ: trivial image	216		(C2^2xC9:S3).4C2	432,381

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁