Extensions 1→N→G→Q→1 with N=C₄ and Q=S₃²

Direct product G=N×Q with N=C₄ and Q=S₃²

		d	ρ	Label	ID
C₄×S₃²		24	4	C4xS3^2	144,143

Semidirect products G=N:Q with N=C₄ and Q=S₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁S₃² = S₃×D₁₂	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₄	24	4+	C4:1S3^2	144,144
C₄⋊₂S₃² = D₆⋊D₆	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₄	24	4	C4:2S3^2	144,145

Non-split extensions G=N.Q with N=C₄ and Q=S₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁S₃² = C₃⋊D₂₄	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₄	24	4+	C4.1S3^2	144,57
C₄.₂S₃² = D₁₂.S₃	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₄	48	4-	C4.2S3^2	144,59
C₄.₃S₃² = C₃²⋊₅SD₁₆	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₄	24	4+	C4.3S3^2	144,60
C₄.₄S₃² = C₃²⋊₃Q₁₆	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₄	48	4-	C4.4S3^2	144,62
C₄.₅S₃² = S₃×Dic₆	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₄	48	4-	C4.5S3^2	144,137
C₄.₆S₃² = D₁₂⋊₅S₃	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₄	48	4-	C4.6S3^2	144,138
C₄.₇S₃² = D₆.₆D₆	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₄	24	4+	C4.7S3^2	144,142
C₄.₈S₃² = C₃²⋊₂D₈	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₄	48	4	C4.8S3^2	144,56
C₄.₉S₃² = Dic₆⋊S₃	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₄	48	4	C4.9S3^2	144,58
C₄.₁₀S₃² = C₃²⋊₂Q₁₆	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₄	48	4	C4.10S3^2	144,61
C₄.₁₁S₃² = D₁₂⋊S₃	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₄	24	4	C4.11S3^2	144,139
C₄.₁₂S₃² = Dic₃.D₆	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₄	24	4	C4.12S3^2	144,140
C₄.₁₃S₃² = S₃×C₃⋊C₈	central extension (φ=1)	48	4	C4.13S3^2	144,52
C₄.₁₄S₃² = C₁₂.₂₉D₆	central extension (φ=1)	24	4	C4.14S3^2	144,53
C₄.₁₅S₃² = D₆.Dic₃	central extension (φ=1)	48	4	C4.15S3^2	144,54
C₄.₁₆S₃² = C₁₂.₃₁D₆	central extension (φ=1)	24	4	C4.16S3^2	144,55
C₄.₁₇S₃² = D₆.D₆	central extension (φ=1)	24	4	C4.17S3^2	144,141

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