Extensions 1→N→G→Q→1 with N=C₆.S₃² and Q=C₂

Direct product G=N×Q with N=C₆.S₃² and Q=C₂

		d	ρ	Label	ID
C₂×C₆.S₃²		72		C2xC6.S3^2	432,317

Semidirect products G=N:Q with N=C₆.S₃² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₆.S₃²⋊₁C₂ = C₁₂⋊S₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆.S₃²	72	12+	C6.S3^2:1C2	432,295
C₆.S₃²⋊₂C₂ = C₁₂.₈₄S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₆.S₃²	72	6	C6.S3^2:2C2	432,296
C₆.S₃²⋊₃C₂ = C₆².₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆.S₃²	72	12-	C6.S3^2:3C2	432,318
C₆.S₃²⋊₄C₂ = C₆².₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆.S₃²	72	6	C6.S3^2:4C2	432,319
C₆.S₃²⋊₅C₂ = C₆²⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆.S₃²	36	12+	C6.S3^2:5C2	432,323
C₆.S₃²⋊₆C₂ = C₄×C₃²⋊D₆	φ: trivial image	36	6	C6.S3^2:6C2	432,300

Non-split extensions G=N.Q with N=C₆.S₃² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₆.S₃².C₂ = C₃⋊S₃⋊Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₆.S₃²	72	12-	C6.S3^2.C2	432,294

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁