Extensions 1→N→G→Q→1 with N=C₆ and Q=S₃wrC₂

Direct product G=NxQ with N=C₆ and Q=S₃wrC₂

		d	ρ	Label	ID
C₆xS₃wrC₂		24	4	C6xS3wrC2	432,754

Semidirect products G=N:Q with N=C₆ and Q=S₃wrC₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:₁S₃wrC₂ = C₂xC₃²:₂D₁₂	φ: S₃wrC₂/C₃²:C₄ → C₂ ⊆ Aut C₆	24	8+	C6:1S3wrC2	432,756
C₆:₂S₃wrC₂ = C₂xC₃³:D₄	φ: S₃wrC₂/S₃² → C₂ ⊆ Aut C₆	24	4	C6:2S3wrC2	432,755

Non-split extensions G=N.Q with N=C₆ and Q=S₃wrC₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁S₃wrC₂ = He₃:₂SD₁₆	φ: S₃wrC₂/C₃²:C₄ → C₂ ⊆ Aut C₆	72	6	C6.1S3wrC2	432,234
C₆.₂S₃wrC₂ = He₃:D₈	φ: S₃wrC₂/C₃²:C₄ → C₂ ⊆ Aut C₆	72	6+	C6.2S3wrC2	432,235
C₆.₃S₃wrC₂ = He₃:Q₁₆	φ: S₃wrC₂/C₃²:C₄ → C₂ ⊆ Aut C₆	144	6-	C6.3S3wrC2	432,236
C₆.₄S₃wrC₂ = C₆.S₃wrC₂	φ: S₃wrC₂/C₃²:C₄ → C₂ ⊆ Aut C₆	72	6-	C6.4S3wrC2	432,237
C₆.₅S₃wrC₂ = C₃²:D₆:C₄	φ: S₃wrC₂/C₃²:C₄ → C₂ ⊆ Aut C₆	36	6	C6.5S3wrC2	432,238
C₆.₆S₃wrC₂ = C₂xHe₃:D₄	φ: S₃wrC₂/C₃²:C₄ → C₂ ⊆ Aut C₆	36	6+	C6.6S3wrC2	432,530
C₆.₇S₃wrC₂ = (C₃xC₆).₈D₁₂	φ: S₃wrC₂/C₃²:C₄ → C₂ ⊆ Aut C₆	24	8+	C6.7S3wrC2	432,586
C₆.₈S₃wrC₂ = (C₃xC₆).₉D₁₂	φ: S₃wrC₂/C₃²:C₄ → C₂ ⊆ Aut C₆	48	8-	C6.8S3wrC2	432,587
C₆.₉S₃wrC₂ = C₃²:₂D₂₄	φ: S₃wrC₂/C₃²:C₄ → C₂ ⊆ Aut C₆	24	8+	C6.9S3wrC2	432,588
C₆.₁₀S₃wrC₂ = C₃³:₈SD₁₆	φ: S₃wrC₂/C₃²:C₄ → C₂ ⊆ Aut C₆	24	8+	C6.10S3wrC2	432,589
C₆.₁₁S₃wrC₂ = C₃³:₃Q₁₆	φ: S₃wrC₂/C₃²:C₄ → C₂ ⊆ Aut C₆	48	8-	C6.11S3wrC2	432,590
C₆.₁₂S₃wrC₂ = C₃:S₃.₂D₁₂	φ: S₃wrC₂/S₃² → C₂ ⊆ Aut C₆	24	4	C6.12S3wrC2	432,579
C₆.₁₃S₃wrC₂ = S₃²:Dic₃	φ: S₃wrC₂/S₃² → C₂ ⊆ Aut C₆	24	4	C6.13S3wrC2	432,580
C₆.₁₄S₃wrC₂ = C₃³:C₄:C₄	φ: S₃wrC₂/S₃² → C₂ ⊆ Aut C₆	48	4	C6.14S3wrC2	432,581
C₆.₁₅S₃wrC₂ = C₃³:D₈	φ: S₃wrC₂/S₃² → C₂ ⊆ Aut C₆	24	4	C6.15S3wrC2	432,582
C₆.₁₆S₃wrC₂ = C₃³:₆SD₁₆	φ: S₃wrC₂/S₃² → C₂ ⊆ Aut C₆	24	4	C6.16S3wrC2	432,583
C₆.₁₇S₃wrC₂ = C₃³:₇SD₁₆	φ: S₃wrC₂/S₃² → C₂ ⊆ Aut C₆	24	4	C6.17S3wrC2	432,584
C₆.₁₈S₃wrC₂ = C₃³:Q₁₆	φ: S₃wrC₂/S₃² → C₂ ⊆ Aut C₆	48	4	C6.18S3wrC2	432,585
C₆.₁₉S₃wrC₂ = C₃xS₃²:C₄	central extension (φ=1)	24	4	C6.19S3wrC2	432,574
C₆.₂₀S₃wrC₂ = C₃xC₃:S₃.Q₈	central extension (φ=1)	48	4	C6.20S3wrC2	432,575
C₆.₂₁S₃wrC₂ = C₃xC₃²:D₈	central extension (φ=1)	24	4	C6.21S3wrC2	432,576
C₆.₂₂S₃wrC₂ = C₃xC₃²:₂SD₁₆	central extension (φ=1)	24	4	C6.22S3wrC2	432,577
C₆.₂₃S₃wrC₂ = C₃xC₃²:Q₁₆	central extension (φ=1)	48	4	C6.23S3wrC2	432,578

Extensions 1→N→G→Q→1 with N=C6 and Q=S3wrC2

Extensions 1→N→G→Q→1 with N=C₆ and Q=S₃wrC₂