Extensions 1→N→G→Q→1 with N=C₈ and Q=C₂xHe₃

Direct product G=NxQ with N=C₈ and Q=C₂xHe₃

		d	ρ	Label	ID
C₂xC₈xHe₃		144		C2xC8xHe3	432,210

Semidirect products G=N:Q with N=C₈ and Q=C₂xHe₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈:₁(C₂xHe₃) = D₈xHe₃	φ: C₂xHe₃/He₃ → C₂ ⊆ Aut C₈	72	6	C8:1(C2xHe3)	432,216
C₈:₂(C₂xHe₃) = SD₁₆xHe₃	φ: C₂xHe₃/He₃ → C₂ ⊆ Aut C₈	72	6	C8:2(C2xHe3)	432,219
C₈:₃(C₂xHe₃) = M₄(2)xHe₃	φ: C₂xHe₃/He₃ → C₂ ⊆ Aut C₈	72	6	C8:3(C2xHe3)	432,213

Non-split extensions G=N.Q with N=C₈ and Q=C₂xHe₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.(C₂xHe₃) = Q₁₆xHe₃	φ: C₂xHe₃/He₃ → C₂ ⊆ Aut C₈	144	6	C8.(C2xHe3)	432,222
C₈.₂(C₂xHe₃) = C₁₆xHe₃	central extension (φ=1)	144	3	C8.2(C2xHe3)	432,35

Extensions 1→N→G→Q→1 with N=C8 and Q=C2xHe3