Extensions 1→N→G→Q→1 with N=C₈ and Q=He₃⋊C₂

Direct product G=N×Q with N=C₈ and Q=He₃⋊C₂

		d	ρ	Label	ID
C₈×He₃⋊C₂		72	3	C8xHe3:C2	432,173

Semidirect products G=N:Q with N=C₈ and Q=He₃⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁(He₃⋊C₂) = He₃⋊₅D₈	φ: He₃⋊C₂/He₃ → C₂ ⊆ Aut C₈	72	6	C8:1(He3:C2)	432,176
C₈⋊₂(He₃⋊C₂) = He₃⋊₇SD₁₆	φ: He₃⋊C₂/He₃ → C₂ ⊆ Aut C₈	72	6	C8:2(He3:C2)	432,175
C₈⋊₃(He₃⋊C₂) = He₃⋊₆M₄(2)	φ: He₃⋊C₂/He₃ → C₂ ⊆ Aut C₈	72	6	C8:3(He3:C2)	432,174

Non-split extensions G=N.Q with N=C₈ and Q=He₃⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.(He₃⋊C₂) = He₃⋊₅Q₁₆	φ: He₃⋊C₂/He₃ → C₂ ⊆ Aut C₈	144	6	C8.(He3:C2)	432,177
C₈.₂(He₃⋊C₂) = He₃⋊₄C₁₆	central extension (φ=1)	144	3	C8.2(He3:C2)	432,33

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Extensions 1→N→G→Q→1 with N=C8 and Q=He3⋊C2