Extensions 1→N→G→Q→1 with N=C₂×C₉⋊S₃ and Q=C₂²

Direct product G=N×Q with N=C₂×C₉⋊S₃ and Q=C₂²

		d	ρ	Label	ID
C₂³×C₉⋊S₃		216		C2^3xC9:S3	432,560

Semidirect products G=N:Q with N=C₂×C₉⋊S₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₉⋊S₃)⋊₁C₂² = S₃×D₃₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₉⋊S₃	72	4+	(C2xC9:S3):1C2^2	432,291
(C₂×C₉⋊S₃)⋊₂C₂² = D₉×D₁₂	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₉⋊S₃	72	4+	(C2xC9:S3):2C2^2	432,292
(C₂×C₉⋊S₃)⋊₃C₂² = S₃×C₉⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₉⋊S₃	72	4	(C2xC9:S3):3C2^2	432,313
(C₂×C₉⋊S₃)⋊₄C₂² = D₉×C₃⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₉⋊S₃	72	4	(C2xC9:S3):4C2^2	432,314
(C₂×C₉⋊S₃)⋊₅C₂² = C₂×C₃⋊D₃₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₉⋊S₃	72		(C2xC9:S3):5C2^2	432,307
(C₂×C₉⋊S₃)⋊₆C₂² = C₂×C₉⋊D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₉⋊S₃	72		(C2xC9:S3):6C2^2	432,312
(C₂×C₉⋊S₃)⋊₇C₂² = D₁₈⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₉⋊S₃	36	4+	(C2xC9:S3):7C2^2	432,315
(C₂×C₉⋊S₃)⋊₈C₂² = C₂×C₃₆⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₉⋊S₃	216		(C2xC9:S3):8C2^2	432,382
(C₂×C₉⋊S₃)⋊₉C₂² = D₄×C₉⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₉⋊S₃	108		(C2xC9:S3):9C2^2	432,388
(C₂×C₉⋊S₃)⋊₁₀C₂² = C₂×C₆.D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₉⋊S₃	216		(C2xC9:S3):10C2^2	432,397
(C₂×C₉⋊S₃)⋊₁₁C₂² = C₂²×S₃×D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₉⋊S₃	72		(C2xC9:S3):11C2^2	432,544

Non-split extensions G=N.Q with N=C₂×C₉⋊S₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₉⋊S₃).₁C₂² = Dic₆⋊₅D₉	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₉⋊S₃	72	4+	(C2xC9:S3).1C2^2	432,282
(C₂×C₉⋊S₃).₂C₂² = Dic₉.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₉⋊S₃	72	4+	(C2xC9:S3).2C2^2	432,289
(C₂×C₉⋊S₃).₃C₂² = D₁₈.₃D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₉⋊S₃	72	4	(C2xC9:S3).3C2^2	432,305
(C₂×C₉⋊S₃).₄C₂² = Dic₃.D₁₈	φ: C₂²/C₁ → C₂² ⊆ Out C₂×C₉⋊S₃	72	4	(C2xC9:S3).4C2^2	432,309
(C₂×C₉⋊S₃).₅C₂² = D₁₈.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₉⋊S₃	72	4	(C2xC9:S3).5C2^2	432,281
(C₂×C₉⋊S₃).₆C₂² = Dic₁₈⋊S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₉⋊S₃	72	4	(C2xC9:S3).6C2^2	432,283
(C₂×C₉⋊S₃).₇C₂² = D₁₂⋊D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₉⋊S₃	72	4	(C2xC9:S3).7C2^2	432,286
(C₂×C₉⋊S₃).₈C₂² = D₆.D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₉⋊S₃	72	4	(C2xC9:S3).8C2^2	432,287
(C₂×C₉⋊S₃).₉C₂² = C₄×S₃×D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₉⋊S₃	72	4	(C2xC9:S3).9C2^2	432,290
(C₂×C₉⋊S₃).₁₀C₂² = C₃₆⋊D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₉⋊S₃	72	4	(C2xC9:S3).10C2^2	432,293
(C₂×C₉⋊S₃).₁₁C₂² = C₂×C₁₈.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₉⋊S₃	72		(C2xC9:S3).11C2^2	432,306
(C₂×C₉⋊S₃).₁₂C₂² = C₃₆.₇₀D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₉⋊S₃	216		(C2xC9:S3).12C2^2	432,383
(C₂×C₉⋊S₃).₁₃C₂² = C₃₆.₂₇D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₉⋊S₃	216		(C2xC9:S3).13C2^2	432,389
(C₂×C₉⋊S₃).₁₄C₂² = C₃₆.₂₉D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×C₉⋊S₃	216		(C2xC9:S3).14C2^2	432,393
(C₂×C₉⋊S₃).₁₅C₂² = C₂×C₄×C₉⋊S₃	φ: trivial image	216		(C2xC9:S3).15C2^2	432,381
(C₂×C₉⋊S₃).₁₆C₂² = Q₈×C₉⋊S₃	φ: trivial image	216		(C2xC9:S3).16C2^2	432,392

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