Extensions 1→N→G→Q→1 with N=C₃×C₃⋊S₃ and Q=C₄

Direct product G=N×Q with N=C₃×C₃⋊S₃ and Q=C₄

		d	ρ	Label	ID
C₁₂×C₃⋊S₃		72		C12xC3:S3	216,141

Semidirect products G=N:Q with N=C₃×C₃⋊S₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₃⋊S₃)⋊₁C₄ = C₃×C₆.D₆	φ: C₄/C₂ → C₂ ⊆ Out C₃×C₃⋊S₃	24	4	(C3xC3:S3):1C4	216,120
(C₃×C₃⋊S₃)⋊₂C₄ = C₆×C₃²⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×C₃⋊S₃	24	4	(C3xC3:S3):2C4	216,168
(C₃×C₃⋊S₃)⋊₃C₄ = Dic₃×C₃⋊S₃	φ: C₄/C₂ → C₂ ⊆ Out C₃×C₃⋊S₃	72		(C3xC3:S3):3C4	216,125
(C₃×C₃⋊S₃)⋊₄C₄ = C₃³⋊₉(C₂×C₄)	φ: C₄/C₂ → C₂ ⊆ Out C₃×C₃⋊S₃	24	4	(C3xC3:S3):4C4	216,131
(C₃×C₃⋊S₃)⋊₅C₄ = C₂×C₃³⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×C₃⋊S₃	24	4	(C3xC3:S3):5C4	216,169

Non-split extensions G=N.Q with N=C₃×C₃⋊S₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₃⋊S₃).₁C₄ = C₃×F₉	φ: C₄/C₁ → C₄ ⊆ Out C₃×C₃⋊S₃	24	8	(C3xC3:S3).1C4	216,154
(C₃×C₃⋊S₃).₂C₄ = C₃⋊F₉	φ: C₄/C₁ → C₄ ⊆ Out C₃×C₃⋊S₃	24	8	(C3xC3:S3).2C4	216,155

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁