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

Direct product G=NxQ with N=C₈ and Q=He₃:C₂

		d	ρ	Label	ID
C₈xHe₃: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

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