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

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

		d	ρ	Label	ID
C₈×C₃²⋊C₆		72	6	C8xC3^2:C6	432,115

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁(C₃²⋊C₆) = He₃⋊₄D₈	φ: C₃²⋊C₆/He₃ → C₂ ⊆ Aut C₈	72	6+	C8:1(C3^2:C6)	432,118
C₈⋊₂(C₃²⋊C₆) = He₃⋊₆SD₁₆	φ: C₃²⋊C₆/He₃ → C₂ ⊆ Aut C₈	72	6	C8:2(C3^2:C6)	432,117
C₈⋊₃(C₃²⋊C₆) = He₃⋊₅M₄(2)	φ: C₃²⋊C₆/He₃ → C₂ ⊆ Aut C₈	72	6	C8:3(C3^2:C6)	432,116

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.(C₃²⋊C₆) = He₃⋊₄Q₁₆	φ: C₃²⋊C₆/He₃ → C₂ ⊆ Aut C₈	144	6-	C8.(C3^2:C6)	432,114
C₈.₂(C₃²⋊C₆) = He₃⋊₃C₁₆	central extension (φ=1)	144	6	C8.2(C3^2:C6)	432,30

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