Extensions 1→N→G→Q→1 with N=C₃²⋊₄Q₈ and Q=S₃

Direct product G=N×Q with N=C₃²⋊₄Q₈ and Q=S₃

		d	ρ	Label	ID
S₃×C₃²⋊₄Q₈		144		S3xC3^2:4Q8	432,660

Semidirect products G=N:Q with N=C₃²⋊₄Q₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₄Q₈⋊₁S₃ = He₃⋊₃SD₁₆	φ: S₃/C₁ → S₃ ⊆ Out C₃²⋊₄Q₈	72	6	C3^2:4Q8:1S3	432,78
C₃²⋊₄Q₈⋊₂S₃ = He₃⋊₄SD₁₆	φ: S₃/C₁ → S₃ ⊆ Out C₃²⋊₄Q₈	72	12-	C3^2:4Q8:2S3	432,84
C₃²⋊₄Q₈⋊₃S₃ = C₃⋊S₃⋊Dic₆	φ: S₃/C₁ → S₃ ⊆ Out C₃²⋊₄Q₈	72	12-	C3^2:4Q8:3S3	432,294
C₃²⋊₄Q₈⋊₄S₃ = C₁₂.₈₄S₃²	φ: S₃/C₁ → S₃ ⊆ Out C₃²⋊₄Q₈	72	6	C3^2:4Q8:4S3	432,296
C₃²⋊₄Q₈⋊₅S₃ = C₁₂.₈₅S₃²	φ: S₃/C₁ → S₃ ⊆ Out C₃²⋊₄Q₈	72	6-	C3^2:4Q8:5S3	432,298
C₃²⋊₄Q₈⋊₆S₃ = C₁₂.S₃²	φ: S₃/C₁ → S₃ ⊆ Out C₃²⋊₄Q₈	72	12-	C3^2:4Q8:6S3	432,299
C₃²⋊₄Q₈⋊₇S₃ = C₃³⋊₁₇SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₄Q₈	72		C3^2:4Q8:7S3	432,444
C₃²⋊₄Q₈⋊₈S₃ = C₃³⋊₁₂SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₄Q₈	144		C3^2:4Q8:8S3	432,439
C₃²⋊₄Q₈⋊₉S₃ = C₃³⋊₁₈SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₄Q₈	48	4	C3^2:4Q8:9S3	432,458
C₃²⋊₄Q₈⋊₁₀S₃ = D₁₂⋊(C₃⋊S₃)	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₄Q₈	72		C3^2:4Q8:10S3	432,662
C₃²⋊₄Q₈⋊₁₁S₃ = C₃²⋊₉(S₃×Q₈)	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₄Q₈	72		C3^2:4Q8:11S3	432,666
C₃²⋊₄Q₈⋊₁₂S₃ = C₃⋊S₃⋊₄Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₄Q₈	48	4	C3^2:4Q8:12S3	432,687
C₃²⋊₄Q₈⋊₁₃S₃ = C₁₂⋊S₃⋊₁₂S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₄Q₈	48	4	C3^2:4Q8:13S3	432,688
C₃²⋊₄Q₈⋊₁₄S₃ = C₁₂.₅₈S₃²	φ: trivial image	72		C3^2:4Q8:14S3	432,669

Non-split extensions G=N.Q with N=C₃²⋊₄Q₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₄Q₈.₁S₃ = He₃⋊₂Q₁₆	φ: S₃/C₁ → S₃ ⊆ Out C₃²⋊₄Q₈	144	6-	C3^2:4Q8.1S3	432,80
C₃²⋊₄Q₈.₂S₃ = He₃⋊₃Q₁₆	φ: S₃/C₁ → S₃ ⊆ Out C₃²⋊₄Q₈	144	12-	C3^2:4Q8.2S3	432,86
C₃²⋊₄Q₈.₃S₃ = C₃³⋊₈Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₄Q₈	144		C3^2:4Q8.3S3	432,447
C₃²⋊₄Q₈.₄S₃ = C₃³⋊₆Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₄Q₈	144		C3^2:4Q8.4S3	432,445
C₃²⋊₄Q₈.₅S₃ = C₃³⋊₉Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₄Q₈	48	4	C3^2:4Q8.5S3	432,459

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