Extensions 1→N→G→Q→1 with N=C₆ and Q=C₃×Q₈

Direct product G=N×Q with N=C₆ and Q=C₃×Q₈

		d	ρ	Label	ID
Q₈×C₃×C₆		144		Q8xC3xC6	144,180

Semidirect products G=N:Q with N=C₆ and Q=C₃×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₃×Q₈) = C₆×Dic₆	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₆	48		C6:(C3xQ8)	144,158

Non-split extensions G=N.Q with N=C₆ and Q=C₃×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₃×Q₈) = C₃×Dic₃⋊C₄	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₆	48		C6.1(C3xQ8)	144,77
C₆.₂(C₃×Q₈) = C₃×C₄⋊Dic₃	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₆	48		C6.2(C3xQ8)	144,78
C₆.₃(C₃×Q₈) = C₉×C₄⋊C₄	central extension (φ=1)	144		C6.3(C3xQ8)	144,22
C₆.₄(C₃×Q₈) = Q₈×C₁₈	central extension (φ=1)	144		C6.4(C3xQ8)	144,49
C₆.₅(C₃×Q₈) = C₃²×C₄⋊C₄	central extension (φ=1)	144		C6.5(C3xQ8)	144,103

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