Extensions 1→N→G→Q→1 with N=C₃²⋊₄C₈ and Q=S₃

Direct product G=N×Q with N=C₃²⋊₄C₈ and Q=S₃

		d	ρ	Label	ID
S₃×C₃²⋊₄C₈		144		S3xC3^2:4C8	432,430

Semidirect products G=N:Q with N=C₃²⋊₄C₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₄C₈⋊₁S₃ = He₃⋊₃D₈	φ: S₃/C₁ → S₃ ⊆ Out C₃²⋊₄C₈	72	12+	C3^2:4C8:1S3	432,83
C₃²⋊₄C₈⋊₂S₃ = He₃⋊₄SD₁₆	φ: S₃/C₁ → S₃ ⊆ Out C₃²⋊₄C₈	72	12-	C3^2:4C8:2S3	432,84
C₃²⋊₄C₈⋊₃S₃ = He₃⋊₅SD₁₆	φ: S₃/C₁ → S₃ ⊆ Out C₃²⋊₄C₈	72	12+	C3^2:4C8:3S3	432,85
C₃²⋊₄C₈⋊₄S₃ = C₃²⋊C₆⋊C₈	φ: S₃/C₁ → S₃ ⊆ Out C₃²⋊₄C₈	72	6	C3^2:4C8:4S3	432,76
C₃²⋊₄C₈⋊₅S₃ = He₃⋊M₄(2)	φ: S₃/C₁ → S₃ ⊆ Out C₃²⋊₄C₈	72	6	C3^2:4C8:5S3	432,77
C₃²⋊₄C₈⋊₆S₃ = C₁₂.₈₉S₃²	φ: S₃/C₁ → S₃ ⊆ Out C₃²⋊₄C₈	72	6	C3^2:4C8:6S3	432,81
C₃²⋊₄C₈⋊₇S₃ = He₃⋊₃M₄(2)	φ: S₃/C₁ → S₃ ⊆ Out C₃²⋊₄C₈	72	6	C3^2:4C8:7S3	432,82
C₃²⋊₄C₈⋊₈S₃ = C₃³⋊₇D₈	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₄C₈	72		C3^2:4C8:8S3	432,437
C₃²⋊₄C₈⋊₉S₃ = C₃³⋊₁₄SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₄C₈	144		C3^2:4C8:9S3	432,441
C₃²⋊₄C₈⋊₁₀S₃ = C₃³⋊₁₅SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₄C₈	72		C3^2:4C8:10S3	432,442
C₃²⋊₄C₈⋊₁₁S₃ = C₃³⋊₉D₈	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₄C₈	48	4	C3^2:4C8:11S3	432,457
C₃²⋊₄C₈⋊₁₂S₃ = C₃³⋊₁₈SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₄C₈	48	4	C3^2:4C8:12S3	432,458
C₃²⋊₄C₈⋊₁₃S₃ = C₃³⋊₇M₄(2)	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₄C₈	144		C3^2:4C8:13S3	432,433
C₃²⋊₄C₈⋊₁₄S₃ = C₃³⋊₉M₄(2)	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₄C₈	72		C3^2:4C8:14S3	432,435
C₃²⋊₄C₈⋊₁₅S₃ = C₁₂.₉₃S₃²	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₄C₈	48	4	C3^2:4C8:15S3	432,455
C₃²⋊₄C₈⋊₁₆S₃ = C₃³⋊₁₀M₄(2)	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₄C₈	48	4	C3^2:4C8:16S3	432,456
C₃²⋊₄C₈⋊₁₇S₃ = C₁₂.₆₉S₃²	φ: trivial image	72		C3^2:4C8:17S3	432,432

Non-split extensions G=N.Q with N=C₃²⋊₄C₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₄C₈.S₃ = He₃⋊₃Q₁₆	φ: S₃/C₁ → S₃ ⊆ Out C₃²⋊₄C₈	144	12-	C3^2:4C8.S3	432,86
C₃²⋊₄C₈.₂S₃ = C₃³⋊₇Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₄C₈	144		C3^2:4C8.2S3	432,446
C₃²⋊₄C₈.₃S₃ = C₃³⋊₉Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₄C₈	48	4	C3^2:4C8.3S3	432,459
C₃²⋊₄C₈.₄S₃ = C₃³⋊₄C₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₄C₈	48	4	C3^2:4C8.4S3	432,413

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