Extensions 1→N→G→Q→1 with N=C₆×D₉ and Q=C₂²

Direct product G=N×Q with N=C₆×D₉ and Q=C₂²

		d	ρ	Label	ID
D₉×C₂²×C₆		144		D9xC2^2xC6	432,556

Semidirect products G=N:Q with N=C₆×D₉ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₉)⋊₁C₂² = S₃×D₃₆	φ: C₂²/C₁ → C₂² ⊆ Out C₆×D₉	72	4+	(C6xD9):1C2^2	432,291
(C₆×D₉)⋊₂C₂² = C₃₆⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₆×D₉	72	4	(C6xD9):2C2^2	432,293
(C₆×D₉)⋊₃C₂² = S₃×C₉⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₆×D₉	72	4	(C6xD9):3C2^2	432,313
(C₆×D₉)⋊₄C₂² = D₁₈⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₆×D₉	36	4+	(C6xD9):4C2^2	432,315
(C₆×D₉)⋊₅C₂² = C₂×C₃⋊D₃₆	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₉	72		(C6xD9):5C2^2	432,307
(C₆×D₉)⋊₆C₂² = C₂×D₆⋊D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₉	144		(C6xD9):6C2^2	432,311
(C₆×D₉)⋊₇C₂² = D₉×C₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₉	72	4	(C6xD9):7C2^2	432,314
(C₆×D₉)⋊₈C₂² = C₆×D₃₆	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₉	144		(C6xD9):8C2^2	432,343
(C₆×D₉)⋊₉C₂² = C₃×D₄×D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₉	72	4	(C6xD9):9C2^2	432,356
(C₆×D₉)⋊₁₀C₂² = C₆×C₉⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₉	72		(C6xD9):10C2^2	432,374
(C₆×D₉)⋊₁₁C₂² = C₂²×S₃×D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₉	72		(C6xD9):11C2^2	432,544

Non-split extensions G=N.Q with N=C₆×D₉ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₉).₁C₂² = D₁₈.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₆×D₉	72	4	(C6xD9).1C2^2	432,281
(C₆×D₉).₂C₂² = D₃₆⋊₅S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₆×D₉	144	4-	(C6xD9).2C2^2	432,288
(C₆×D₉).₃C₂² = D₁₈.₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₆×D₉	72	4	(C6xD9).3C2^2	432,305
(C₆×D₉).₄C₂² = D₁₈.₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₆×D₉	72	4-	(C6xD9).4C2^2	432,310
(C₆×D₉).₅C₂² = D₉×Dic₆	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₉	144	4-	(C6xD9).5C2^2	432,280
(C₆×D₉).₆C₂² = Dic₆⋊₅D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₉	72	4+	(C6xD9).6C2^2	432,282
(C₆×D₉).₇C₂² = D₁₂⋊₅D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₉	144	4-	(C6xD9).7C2^2	432,285
(C₆×D₉).₈C₂² = D₆.D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₉	72	4	(C6xD9).8C2^2	432,287
(C₆×D₉).₉C₂² = C₄×S₃×D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₉	72	4	(C6xD9).9C2^2	432,290
(C₆×D₉).₁₀C₂² = D₉×D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₉	72	4+	(C6xD9).10C2^2	432,292
(C₆×D₉).₁₁C₂² = C₂×Dic₃×D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₉	144		(C6xD9).11C2^2	432,304
(C₆×D₉).₁₂C₂² = C₃×D₃₆⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₉	72	2	(C6xD9).12C2^2	432,344
(C₆×D₉).₁₃C₂² = C₃×D₄⋊₂D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₉	72	4	(C6xD9).13C2^2	432,357
(C₆×D₉).₁₄C₂² = C₃×Q₈⋊₃D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₉	144	4	(C6xD9).14C2^2	432,365
(C₆×D₉).₁₅C₂² = D₉×C₂×C₁₂	φ: trivial image	144		(C6xD9).15C2^2	432,342
(C₆×D₉).₁₆C₂² = C₃×Q₈×D₉	φ: trivial image	144	4	(C6xD9).16C2^2	432,364

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