Extensions 1→N→G→Q→1 with N=C₉×Dic₃ and Q=C₂²

Direct product G=N×Q with N=C₉×Dic₃ and Q=C₂²

		d	ρ	Label	ID
Dic₃×C₂×C₁₈		144		Dic3xC2xC18	432,373

Semidirect products G=N:Q with N=C₉×Dic₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉×Dic₃)⋊₁C₂² = D₉×C₃⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₉×Dic₃	72	4	(C9xDic3):1C2^2	432,314
(C₉×Dic₃)⋊₂C₂² = D₁₈⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₉×Dic₃	36	4+	(C9xDic3):2C2^2	432,315
(C₉×Dic₃)⋊₃C₂² = S₃×D₃₆	φ: C₂²/C₂ → C₂ ⊆ Out C₉×Dic₃	72	4+	(C9xDic3):3C2^2	432,291
(C₉×Dic₃)⋊₄C₂² = C₂×C₃⋊D₃₆	φ: C₂²/C₂ → C₂ ⊆ Out C₉×Dic₃	72		(C9xDic3):4C2^2	432,307
(C₉×Dic₃)⋊₅C₂² = C₄×S₃×D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₉×Dic₃	72	4	(C9xDic3):5C2^2	432,290
(C₉×Dic₃)⋊₆C₂² = C₂×Dic₃×D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₉×Dic₃	144		(C9xDic3):6C2^2	432,304
(C₉×Dic₃)⋊₇C₂² = C₂×C₁₈.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₉×Dic₃	72		(C9xDic3):7C2^2	432,306
(C₉×Dic₃)⋊₈C₂² = S₃×D₄×C₉	φ: C₂²/C₂ → C₂ ⊆ Out C₉×Dic₃	72	4	(C9xDic3):8C2^2	432,358
(C₉×Dic₃)⋊₉C₂² = C₁₈×C₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₉×Dic₃	72		(C9xDic3):9C2^2	432,375
(C₉×Dic₃)⋊₁₀C₂² = S₃×C₂×C₃₆	φ: trivial image	144		(C9xDic3):10C2^2	432,345

Non-split extensions G=N.Q with N=C₉×Dic₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉×Dic₃).₁C₂² = D₉×Dic₆	φ: C₂²/C₁ → C₂² ⊆ Out C₉×Dic₃	144	4-	(C9xDic3).1C2^2	432,280
(C₉×Dic₃).₂C₂² = D₁₈.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₉×Dic₃	72	4	(C9xDic3).2C2^2	432,281
(C₉×Dic₃).₃C₂² = Dic₆⋊₅D₉	φ: C₂²/C₁ → C₂² ⊆ Out C₉×Dic₃	72	4+	(C9xDic3).3C2^2	432,282
(C₉×Dic₃).₄C₂² = Dic₁₈⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₉×Dic₃	72	4	(C9xDic3).4C2^2	432,283
(C₉×Dic₃).₅C₂² = Dic₃.D₁₈	φ: C₂²/C₁ → C₂² ⊆ Out C₉×Dic₃	72	4	(C9xDic3).5C2^2	432,309
(C₉×Dic₃).₆C₂² = D₁₈.₄D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₉×Dic₃	72	4-	(C9xDic3).6C2^2	432,310
(C₉×Dic₃).₇C₂² = S₃×Dic₁₈	φ: C₂²/C₂ → C₂ ⊆ Out C₉×Dic₃	144	4-	(C9xDic3).7C2^2	432,284
(C₉×Dic₃).₈C₂² = D₆.D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out C₉×Dic₃	72	4	(C9xDic3).8C2^2	432,287
(C₉×Dic₃).₉C₂² = C₂×C₉⋊Dic₆	φ: C₂²/C₂ → C₂ ⊆ Out C₉×Dic₃	144		(C9xDic3).9C2^2	432,303
(C₉×Dic₃).₁₀C₂² = D₁₈.₃D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₉×Dic₃	72	4	(C9xDic3).10C2^2	432,305
(C₉×Dic₃).₁₁C₂² = D₃₆⋊₅S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₉×Dic₃	144	4-	(C9xDic3).11C2^2	432,288
(C₉×Dic₃).₁₂C₂² = Dic₉.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₉×Dic₃	72	4+	(C9xDic3).12C2^2	432,289
(C₉×Dic₃).₁₃C₂² = C₁₈×Dic₆	φ: C₂²/C₂ → C₂ ⊆ Out C₉×Dic₃	144		(C9xDic3).13C2^2	432,341
(C₉×Dic₃).₁₄C₂² = C₉×C₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₉×Dic₃	72	2	(C9xDic3).14C2^2	432,347
(C₉×Dic₃).₁₅C₂² = S₃×Q₈×C₉	φ: C₂²/C₂ → C₂ ⊆ Out C₉×Dic₃	144	4	(C9xDic3).15C2^2	432,366
(C₉×Dic₃).₁₆C₂² = C₉×D₄⋊₂S₃	φ: trivial image	72	4	(C9xDic3).16C2^2	432,359
(C₉×Dic₃).₁₇C₂² = C₉×Q₈⋊₃S₃	φ: trivial image	144	4	(C9xDic3).17C2^2	432,367

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