Extensions 1→N→G→Q→1 with N=C₃²⋊₂C₈ and Q=C₆

Direct product G=N×Q with N=C₃²⋊₂C₈ and Q=C₆

		d	ρ	Label	ID
C₆×C₃²⋊₂C₈		48		C6xC3^2:2C8	432,632

Semidirect products G=N:Q with N=C₃²⋊₂C₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₂C₈⋊₁C₆ = C₃×C₃²⋊D₈	φ: C₆/C₃ → C₂ ⊆ Out C₃²⋊₂C₈	24	4	C3^2:2C8:1C6	432,576
C₃²⋊₂C₈⋊₂C₆ = C₃×C₃²⋊₂SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃²⋊₂C₈	24	4	C3^2:2C8:2C6	432,577
C₃²⋊₂C₈⋊₃C₆ = C₃×C₃²⋊M₄(2)	φ: C₆/C₃ → C₂ ⊆ Out C₃²⋊₂C₈	48	4	C3^2:2C8:3C6	432,629
C₃²⋊₂C₈⋊₄C₆ = C₃×C₆².C₄	φ: C₆/C₃ → C₂ ⊆ Out C₃²⋊₂C₈	24	4	C3^2:2C8:4C6	432,633
C₃²⋊₂C₈⋊₅C₆ = C₃×C₃⋊S₃⋊₃C₈	φ: trivial image	48	4	C3^2:2C8:5C6	432,628

Non-split extensions G=N.Q with N=C₃²⋊₂C₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₂C₈.₁C₆ = C₃×C₂.F₉	φ: C₆/C₃ → C₂ ⊆ Out C₃²⋊₂C₈	48	8	C3^2:2C8.1C6	432,565
C₃²⋊₂C₈.₂C₆ = C₃×C₃²⋊Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃²⋊₂C₈	48	4	C3^2:2C8.2C6	432,578

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