Extensions 1→N→G→Q→1 with N=C₄×D₄ and Q=S₃

Direct product G=N×Q with N=C₄×D₄ and Q=S₃

		d	ρ	Label	ID
C₄×S₃×D₄		48		C4xS3xD4	192,1103

Semidirect products G=N:Q with N=C₄×D₄ and Q=S₃

extension	φ:Q→Out N	d	Label	ID
(C₄×D₄)⋊₁S₃ = C₄×D₄⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):1S3	192,572
(C₄×D₄)⋊₂S₃ = C₄².₄₈D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):2S3	192,573
(C₄×D₄)⋊₃S₃ = C₁₂⋊₇D₈	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):3S3	192,574
(C₄×D₄)⋊₄S₃ = D₄.₁D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):4S3	192,575
(C₄×D₄)⋊₅S₃ = C₄².₁₀₂D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):5S3	192,1097
(C₄×D₄)⋊₆S₃ = C₄².₁₀₄D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):6S3	192,1099
(C₄×D₄)⋊₇S₃ = C₄²⋊₁₃D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	48	(C4xD4):7S3	192,1104
(C₄×D₄)⋊₈S₃ = C₄².₁₀₈D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):8S3	192,1105
(C₄×D₄)⋊₉S₃ = C₄²⋊₁₄D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	48	(C4xD4):9S3	192,1106
(C₄×D₄)⋊₁₀S₃ = C₄².₂₂₈D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):10S3	192,1107
(C₄×D₄)⋊₁₁S₃ = D₄×D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	48	(C4xD4):11S3	192,1108
(C₄×D₄)⋊₁₂S₃ = D₁₂⋊₂₃D₄	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	48	(C4xD4):12S3	192,1109
(C₄×D₄)⋊₁₃S₃ = D₁₂⋊₂₄D₄	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):13S3	192,1110
(C₄×D₄)⋊₁₄S₃ = Dic₆⋊₂₃D₄	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):14S3	192,1111
(C₄×D₄)⋊₁₅S₃ = Dic₆⋊₂₄D₄	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):15S3	192,1112
(C₄×D₄)⋊₁₆S₃ = D₄⋊₅D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	48	(C4xD4):16S3	192,1113
(C₄×D₄)⋊₁₇S₃ = D₄⋊₆D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):17S3	192,1114
(C₄×D₄)⋊₁₈S₃ = C₄²⋊₁₈D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	48	(C4xD4):18S3	192,1115
(C₄×D₄)⋊₁₉S₃ = C₄².₂₂₉D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):19S3	192,1116
(C₄×D₄)⋊₂₀S₃ = C₄².₁₁₃D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):20S3	192,1117
(C₄×D₄)⋊₂₁S₃ = C₄².₁₁₄D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):21S3	192,1118
(C₄×D₄)⋊₂₂S₃ = C₄²⋊₁₉D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	48	(C4xD4):22S3	192,1119
(C₄×D₄)⋊₂₃S₃ = C₄².₁₁₅D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):23S3	192,1120
(C₄×D₄)⋊₂₄S₃ = C₄².₁₁₆D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):24S3	192,1121
(C₄×D₄)⋊₂₅S₃ = C₄².₁₁₇D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):25S3	192,1122
(C₄×D₄)⋊₂₆S₃ = C₄².₁₁₈D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):26S3	192,1123
(C₄×D₄)⋊₂₇S₃ = C₄².₁₁₉D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4):27S3	192,1124
(C₄×D₄)⋊₂₈S₃ = C₄×D₄⋊₂S₃	φ: trivial image	96	(C4xD4):28S3	192,1095

Non-split extensions G=N.Q with N=C₄×D₄ and Q=S₃

extension	φ:Q→Out N	d	Label	ID
(C₄×D₄).₁S₃ = C₁₂.₅₇D₈	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4).1S3	192,93
(C₄×D₄).₂S₃ = C₁₂.₅₀D₈	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4).2S3	192,566
(C₄×D₄).₃S₃ = C₁₂.₃₈SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4).3S3	192,567
(C₄×D₄).₄S₃ = D₄.₃Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4).4S3	192,568
(C₄×D₄).₅S₃ = C₄².₄₇D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4).5S3	192,570
(C₄×D₄).₆S₃ = C₁₂⋊₃M₄(2)	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4).6S3	192,571
(C₄×D₄).₇S₃ = C₄×D₄.S₃	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4).7S3	192,576
(C₄×D₄).₈S₃ = C₄².₅₁D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4).8S3	192,577
(C₄×D₄).₉S₃ = D₄.₂D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4).9S3	192,578
(C₄×D₄).₁₀S₃ = D₄×Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4).10S3	192,1096
(C₄×D₄).₁₁S₃ = D₄⋊₅Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4).11S3	192,1098
(C₄×D₄).₁₂S₃ = C₄².₁₀₅D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4).12S3	192,1100
(C₄×D₄).₁₃S₃ = C₄².₁₀₆D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4).13S3	192,1101
(C₄×D₄).₁₄S₃ = D₄⋊₆Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₄×D₄	96	(C4xD4).14S3	192,1102
(C₄×D₄).₁₅S₃ = D₄×C₃⋊C₈	φ: trivial image	96	(C4xD4).15S3	192,569

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Extensions 1→N→G→Q→1 with N=C4×D4 and Q=S3

Extensions 1→N→G→Q→1 with N=C₄×D₄ and Q=S₃