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

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

		d	ρ	Label	ID
C₂²×C₉⋊S₃		108		C2^2xC9:S3	216,112

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₉⋊S₃)⋊₁C₂ = C₃⋊D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊S₃	36	4+	(C2xC9:S3):1C2	216,29
(C₂×C₉⋊S₃)⋊₂C₂ = C₉⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊S₃	36	4+	(C2xC9:S3):2C2	216,32
(C₂×C₉⋊S₃)⋊₃C₂ = C₃₆⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊S₃	108		(C2xC9:S3):3C2	216,65
(C₂×C₉⋊S₃)⋊₄C₂ = C₆.D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊S₃	108		(C2xC9:S3):4C2	216,70
(C₂×C₉⋊S₃)⋊₅C₂ = C₂×S₃×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊S₃	36	4+	(C2xC9:S3):5C2	216,101

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₉⋊S₃).C₂ = C₁₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊S₃	36	4+	(C2xC9:S3).C2	216,28
(C₂×C₉⋊S₃).₂C₂ = C₄×C₉⋊S₃	φ: trivial image	108		(C2xC9:S3).2C2	216,64

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁