Extensions 1→N→G→Q→1 with N=C₃₆⋊S₃ and Q=C₂

Direct product G=N×Q with N=C₃₆⋊S₃ and Q=C₂

		d	ρ	Label	ID
C₂×C₃₆⋊S₃		216		C2xC36:S3	432,382

Semidirect products G=N:Q with N=C₃₆⋊S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃₆⋊S₃⋊₁C₂ = C₃⋊D₇₂	φ: C₂/C₁ → C₂ ⊆ Out C₃₆⋊S₃	72	4+	C36:S3:1C2	432,64
C₃₆⋊S₃⋊₂C₂ = C₇₂⋊₁S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃₆⋊S₃	216		C36:S3:2C2	432,172
C₃₆⋊S₃⋊₃C₂ = Dic₉.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃₆⋊S₃	72	4+	C36:S3:3C2	432,289
C₃₆⋊S₃⋊₄C₂ = S₃×D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₃₆⋊S₃	72	4+	C36:S3:4C2	432,291
C₃₆⋊S₃⋊₅C₂ = C₉⋊D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₃₆⋊S₃	72	4+	C36:S3:5C2	432,69
C₃₆⋊S₃⋊₆C₂ = C₃₆.₁₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃₆⋊S₃	216		C36:S3:6C2	432,191
C₃₆⋊S₃⋊₇C₂ = Dic₆⋊₅D₉	φ: C₂/C₁ → C₂ ⊆ Out C₃₆⋊S₃	72	4+	C36:S3:7C2	432,282
C₃₆⋊S₃⋊₈C₂ = D₉×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃₆⋊S₃	72	4+	C36:S3:8C2	432,292
C₃₆⋊S₃⋊₉C₂ = D₄×C₉⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃₆⋊S₃	108		C36:S3:9C2	432,388
C₃₆⋊S₃⋊₁₀C₂ = C₃₆.₂₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃₆⋊S₃	216		C36:S3:10C2	432,393
C₃₆⋊S₃⋊₁₁C₂ = C₃₆.₇₀D₆	φ: trivial image	216		C36:S3:11C2	432,383

Non-split extensions G=N.Q with N=C₃₆⋊S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃₆⋊S₃.₁C₂ = C₆.D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₃₆⋊S₃	72	4+	C36:S3.1C2	432,63
C₃₆⋊S₃.₂C₂ = C₂₄⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out C₃₆⋊S₃	216		C36:S3.2C2	432,171
C₃₆⋊S₃.₃C₂ = C₁₈.D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃₆⋊S₃	72	4+	C36:S3.3C2	432,73
C₃₆⋊S₃.₄C₂ = C₃₆.₂₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃₆⋊S₃	216		C36:S3.4C2	432,195

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁