Extensions 1→N→G→Q→1 with N=C₂⁴ and Q=He₃

Direct product G=N×Q with N=C₂⁴ and Q=He₃

		d	ρ	Label	ID
C₂⁴×He₃		144		C2^4xHe3	432,563

Semidirect products G=N:Q with N=C₂⁴ and Q=He₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴⋊He₃ = C₂⁴⋊He₃	φ: He₃/C₃ → C₃² ⊆ Aut C₂⁴	36	9	C2^4:He3	432,526
C₂⁴⋊₂He₃ = C₂²×C₃²⋊A₄	φ: He₃/C₃² → C₃ ⊆ Aut C₂⁴	36		C2^4:2He3	432,550
C₂⁴⋊₃He₃ = C₆²⋊A₄	φ: He₃/C₃² → C₃ ⊆ Aut C₂⁴	36		C2^4:3He3	432,555

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