Extensions 1→N→G→Q→1 with N=C₆ and Q=Q₈×C₃²

Direct product G=N×Q with N=C₆ and Q=Q₈×C₃²

		d	ρ	Label	ID
Q₈×C₃²×C₆		432		Q8xC3^2xC6	432,732

Semidirect products G=N:Q with N=C₆ and Q=Q₈×C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(Q₈×C₃²) = C₃×C₆×Dic₆	φ: Q₈×C₃²/C₃×C₁₂ → C₂ ⊆ Aut C₆	144		C6:(Q8xC3^2)	432,700

Non-split extensions G=N.Q with N=C₆ and Q=Q₈×C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(Q₈×C₃²) = C₃²×Dic₃⋊C₄	φ: Q₈×C₃²/C₃×C₁₂ → C₂ ⊆ Aut C₆	144		C6.1(Q8xC3^2)	432,472
C₆.₂(Q₈×C₃²) = C₃²×C₄⋊Dic₃	φ: Q₈×C₃²/C₃×C₁₂ → C₂ ⊆ Aut C₆	144		C6.2(Q8xC3^2)	432,473
C₆.₃(Q₈×C₃²) = C₄⋊C₄×C₃×C₉	central extension (φ=1)	432		C6.3(Q8xC3^2)	432,206
C₆.₄(Q₈×C₃²) = C₄⋊C₄×He₃	central extension (φ=1)	144		C6.4(Q8xC3^2)	432,207
C₆.₅(Q₈×C₃²) = C₄⋊C₄×3_-¹⁺²	central extension (φ=1)	144		C6.5(Q8xC3^2)	432,208
C₆.₆(Q₈×C₃²) = Q₈×C₃×C₁₈	central extension (φ=1)	432		C6.6(Q8xC3^2)	432,406
C₆.₇(Q₈×C₃²) = C₂×Q₈×He₃	central extension (φ=1)	144		C6.7(Q8xC3^2)	432,407
C₆.₈(Q₈×C₃²) = C₂×Q₈×3_-¹⁺²	central extension (φ=1)	144		C6.8(Q8xC3^2)	432,408
C₆.₉(Q₈×C₃²) = C₄⋊C₄×C₃³	central extension (φ=1)	432		C6.9(Q8xC3^2)	432,514

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