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

Direct product G=NxQ with N=C₃²:₄Q₈ and Q=S₃

		d	ρ	Label	ID
S₃xC₃²:₄Q₈		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(S₃xQ₈)	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

׿

x

:

Z

F

o

wr

Q

<