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

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

		d	ρ	Label	ID
C₂×C₈×He₃		144		C2xC8xHe3	432,210

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁(C₂×He₃) = D₈×He₃	φ: C₂×He₃/He₃ → C₂ ⊆ Aut C₈	72	6	C8:1(C2xHe3)	432,216
C₈⋊₂(C₂×He₃) = SD₁₆×He₃	φ: C₂×He₃/He₃ → C₂ ⊆ Aut C₈	72	6	C8:2(C2xHe3)	432,219
C₈⋊₃(C₂×He₃) = M₄(2)×He₃	φ: C₂×He₃/He₃ → C₂ ⊆ Aut C₈	72	6	C8:3(C2xHe3)	432,213

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.(C₂×He₃) = Q₁₆×He₃	φ: C₂×He₃/He₃ → C₂ ⊆ Aut C₈	144	6	C8.(C2xHe3)	432,222
C₈.₂(C₂×He₃) = C₁₆×He₃	central extension (φ=1)	144	3	C8.2(C2xHe3)	432,35

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