Extensions 1→N→G→Q→1 with N=C₆×D₉ and Q=C₂

Direct product G=N×Q with N=C₆×D₉ and Q=C₂

		d	ρ	Label	ID
C₂×C₆×D₉		72		C2xC6xD9	216,108

Semidirect products G=N:Q with N=C₆×D₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₉)⋊₁C₂ = C₃⋊D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₉	36	4+	(C6xD9):1C2	216,29
(C₆×D₉)⋊₂C₂ = D₆⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₉	72	4-	(C6xD9):2C2	216,31
(C₆×D₉)⋊₃C₂ = C₃×D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₉	72	2	(C6xD9):3C2	216,46
(C₆×D₉)⋊₄C₂ = C₃×C₉⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₉	36	2	(C6xD9):4C2	216,57
(C₆×D₉)⋊₅C₂ = C₂×S₃×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₉	36	4+	(C6xD9):5C2	216,101

Non-split extensions G=N.Q with N=C₆×D₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₉).C₂ = Dic₃×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₉	72	4-	(C6xD9).C2	216,27
(C₆×D₉).₂C₂ = C₁₂×D₉	φ: trivial image	72	2	(C6xD9).2C2	216,45

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁