Extensions 1→N→G→Q→1 with N=C₂xC₃:S₃ and Q=Dic₃

Direct product G=NxQ with N=C₂xC₃:S₃ and Q=Dic₃

		d	ρ	Label	ID
C₂xDic₃xC₃:S₃		144		C2xDic3xC3:S3	432,677

Semidirect products G=N:Q with N=C₂xC₃:S₃ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃:S₃):₁Dic₃ = C₆².₄D₆	φ: Dic₃/C₂ → S₃ ⊆ Out C₂xC₃:S₃	72		(C2xC3:S3):1Dic3	432,97
(C₂xC₃:S₃):₂Dic₃ = C₂xC₆.S₃²	φ: Dic₃/C₂ → S₃ ⊆ Out C₂xC₃:S₃	72		(C2xC3:S3):2Dic3	432,317
(C₂xC₃:S₃):₃Dic₃ = C₆².₇₈D₆	φ: Dic₃/C₆ → C₂ ⊆ Out C₂xC₃:S₃	144		(C2xC3:S3):3Dic3	432,450
(C₂xC₃:S₃):₄Dic₃ = C₆².₈₄D₆	φ: Dic₃/C₆ → C₂ ⊆ Out C₂xC₃:S₃	48		(C2xC3:S3):4Dic3	432,461
(C₂xC₃:S₃):₅Dic₃ = C₆²:₁₁Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₂xC₃:S₃	24	4	(C2xC3:S3):5Dic3	432,641
(C₂xC₃:S₃):₆Dic₃ = C₂xC₃³:₉(C₂xC₄)	φ: Dic₃/C₆ → C₂ ⊆ Out C₂xC₃:S₃	48		(C2xC3:S3):6Dic3	432,692
(C₂xC₃:S₃):₇Dic₃ = C₂²xC₃³:C₄	φ: Dic₃/C₆ → C₂ ⊆ Out C₂xC₃:S₃	48		(C2xC3:S3):7Dic3	432,766

Non-split extensions G=N.Q with N=C₂xC₃:S₃ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃:S₃).₁Dic₃ = C₃²:C₆:C₈	φ: Dic₃/C₂ → S₃ ⊆ Out C₂xC₃:S₃	72	6	(C2xC3:S3).1Dic3	432,76
(C₂xC₃:S₃).₂Dic₃ = He₃:M₄(2)	φ: Dic₃/C₂ → S₃ ⊆ Out C₂xC₃:S₃	72	6	(C2xC3:S3).2Dic3	432,77
(C₂xC₃:S₃).₃Dic₃ = C₂xC₃:F₉	φ: Dic₃/C₃ → C₄ ⊆ Out C₂xC₃:S₃	48	8	(C2xC3:S3).3Dic3	432,752
(C₂xC₃:S₃).₄Dic₃ = C₃³:₈M₄(2)	φ: Dic₃/C₆ → C₂ ⊆ Out C₂xC₃:S₃	144		(C2xC3:S3).4Dic3	432,434
(C₂xC₃:S₃).₅Dic₃ = C₁₂.₉₃S₃²	φ: Dic₃/C₆ → C₂ ⊆ Out C₂xC₃:S₃	48	4	(C2xC3:S3).5Dic3	432,455
(C₂xC₃:S₃).₆Dic₃ = C₃³:₁₀M₄(2)	φ: Dic₃/C₆ → C₂ ⊆ Out C₂xC₃:S₃	48	4	(C2xC3:S3).6Dic3	432,456
(C₂xC₃:S₃).₇Dic₃ = C₃³:₇(C₂xC₈)	φ: Dic₃/C₆ → C₂ ⊆ Out C₂xC₃:S₃	48	4	(C2xC3:S3).7Dic3	432,635
(C₂xC₃:S₃).₈Dic₃ = C₃³:₄M₄(2)	φ: Dic₃/C₆ → C₂ ⊆ Out C₂xC₃:S₃	48	4	(C2xC3:S3).8Dic3	432,636
(C₂xC₃:S₃).₉Dic₃ = C₃:S₃xC₃:C₈	φ: trivial image	144		(C2xC3:S3).9Dic3	432,431

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