Extensions 1→N→G→Q→1 with N=C₃×Dic₉ and Q=C₂²

Direct product G=N×Q with N=C₃×Dic₉ and Q=C₂²

		d	ρ	Label	ID
C₂×C₆×Dic₉		144		C2xC6xDic9	432,372

Semidirect products G=N:Q with N=C₃×Dic₉ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₉)⋊₁C₂² = S₃×C₉⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₉	72	4	(C3xDic9):1C2^2	432,313
(C₃×Dic₉)⋊₂C₂² = D₁₈⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₉	36	4+	(C3xDic9):2C2^2	432,315
(C₃×Dic₉)⋊₃C₂² = C₄×S₃×D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₉	72	4	(C3xDic9):3C2^2	432,290
(C₃×Dic₉)⋊₄C₂² = D₉×D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₉	72	4+	(C3xDic9):4C2^2	432,292
(C₃×Dic₉)⋊₅C₂² = C₂×C₁₈.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₉	72		(C3xDic9):5C2^2	432,306
(C₃×Dic₉)⋊₆C₂² = C₂×S₃×Dic₉	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₉	144		(C3xDic9):6C2^2	432,308
(C₃×Dic₉)⋊₇C₂² = C₂×C₉⋊D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₉	72		(C3xDic9):7C2^2	432,312
(C₃×Dic₉)⋊₈C₂² = C₃×D₄×D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₉	72	4	(C3xDic9):8C2^2	432,356
(C₃×Dic₉)⋊₉C₂² = C₆×C₉⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₉	72		(C3xDic9):9C2^2	432,374
(C₃×Dic₉)⋊₁₀C₂² = D₉×C₂×C₁₂	φ: trivial image	144		(C3xDic9):10C2^2	432,342

Non-split extensions G=N.Q with N=C₃×Dic₉ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₉).₁C₂² = Dic₁₈⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₉	72	4	(C3xDic9).1C2^2	432,283
(C₃×Dic₉).₂C₂² = S₃×Dic₁₈	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₉	144	4-	(C3xDic9).2C2^2	432,284
(C₃×Dic₉).₃C₂² = D₁₂⋊D₉	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₉	72	4	(C3xDic9).3C2^2	432,286
(C₃×Dic₉).₄C₂² = Dic₉.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₉	72	4+	(C3xDic9).4C2^2	432,289
(C₃×Dic₉).₅C₂² = D₁₈.₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₉	72	4	(C3xDic9).5C2^2	432,305
(C₃×Dic₉).₆C₂² = D₁₈.₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₉	72	4-	(C3xDic9).6C2^2	432,310
(C₃×Dic₉).₇C₂² = D₉×Dic₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₉	144	4-	(C3xDic9).7C2^2	432,280
(C₃×Dic₉).₈C₂² = Dic₆⋊₅D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₉	72	4+	(C3xDic9).8C2^2	432,282
(C₃×Dic₉).₉C₂² = D₁₂⋊₅D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₉	144	4-	(C3xDic9).9C2^2	432,285
(C₃×Dic₉).₁₀C₂² = D₆.D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₉	72	4	(C3xDic9).10C2^2	432,287
(C₃×Dic₉).₁₁C₂² = C₂×C₉⋊Dic₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₉	144		(C3xDic9).11C2^2	432,303
(C₃×Dic₉).₁₂C₂² = Dic₃.D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₉	72	4	(C3xDic9).12C2^2	432,309
(C₃×Dic₉).₁₃C₂² = C₆×Dic₁₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₉	144		(C3xDic9).13C2^2	432,340
(C₃×Dic₉).₁₄C₂² = C₃×D₃₆⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₉	72	2	(C3xDic9).14C2^2	432,344
(C₃×Dic₉).₁₅C₂² = C₃×D₄⋊₂D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₉	72	4	(C3xDic9).15C2^2	432,357
(C₃×Dic₉).₁₆C₂² = C₃×Q₈×D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₉	144	4	(C3xDic9).16C2^2	432,364
(C₃×Dic₉).₁₇C₂² = C₃×Q₈⋊₃D₉	φ: trivial image	144	4	(C3xDic9).17C2^2	432,365

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