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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₃²⋊₂C₈) = C₂×C₃³⋊₄C₈	φ: C₃²⋊₂C₈/C₃⋊Dic₃ → C₂ ⊆ Aut C₆	48		C6:(C3^2:2C8)	432,639

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₃²⋊₂C₈) = C₃³⋊₄C₁₆	φ: C₃²⋊₂C₈/C₃⋊Dic₃ → C₂ ⊆ Aut C₆	48	4	C6.(C3^2:2C8)	432,413
C₆.₂(C₃²⋊₂C₈) = He₃⋊₂C₁₆	central extension (φ=1)	144	3	C6.2(C3^2:2C8)	432,57
C₆.₃(C₃²⋊₂C₈) = C₂×He₃⋊₂C₈	central extension (φ=1)	144		C6.3(C3^2:2C8)	432,277
C₆.₄(C₃²⋊₂C₈) = C₃×C₃²⋊₂C₁₆	central extension (φ=1)	48	4	C6.4(C3^2:2C8)	432,412

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