Extensions 1→N→G→Q→1 with N=C₆ and Q=Q₈xC₃²

Direct product G=NxQ with N=C₆ and Q=Q₈xC₃²

		d	ρ	Label	ID
Q₈xC₃²xC₆		432		Q8xC3^2xC6	432,732

Semidirect products G=N:Q with N=C₆ and Q=Q₈xC₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:(Q₈xC₃²) = C₃xC₆xDic₆	φ: Q₈xC₃²/C₃xC₁₂ → C₂ ⊆ Aut C₆	144		C6:(Q8xC3^2)	432,700

Non-split extensions G=N.Q with N=C₆ and Q=Q₈xC₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(Q₈xC₃²) = C₃²xDic₃:C₄	φ: Q₈xC₃²/C₃xC₁₂ → C₂ ⊆ Aut C₆	144		C6.1(Q8xC3^2)	432,472
C₆.₂(Q₈xC₃²) = C₃²xC₄:Dic₃	φ: Q₈xC₃²/C₃xC₁₂ → C₂ ⊆ Aut C₆	144		C6.2(Q8xC3^2)	432,473
C₆.₃(Q₈xC₃²) = C₄:C₄xC₃xC₉	central extension (φ=1)	432		C6.3(Q8xC3^2)	432,206
C₆.₄(Q₈xC₃²) = C₄:C₄xHe₃	central extension (φ=1)	144		C6.4(Q8xC3^2)	432,207
C₆.₅(Q₈xC₃²) = C₄:C₄x3_-¹⁺²	central extension (φ=1)	144		C6.5(Q8xC3^2)	432,208
C₆.₆(Q₈xC₃²) = Q₈xC₃xC₁₈	central extension (φ=1)	432		C6.6(Q8xC3^2)	432,406
C₆.₇(Q₈xC₃²) = C₂xQ₈xHe₃	central extension (φ=1)	144		C6.7(Q8xC3^2)	432,407
C₆.₈(Q₈xC₃²) = C₂xQ₈x3_-¹⁺²	central extension (φ=1)	144		C6.8(Q8xC3^2)	432,408
C₆.₉(Q₈xC₃²) = C₄:C₄xC₃³	central extension (φ=1)	432		C6.9(Q8xC3^2)	432,514

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