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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊C₂⁴ = C₂²×C₃²⋊D₆	φ: C₂⁴/C₂² → C₂² ⊆ Out He₃	36		He3:C2^4	432,545
He₃⋊₂C₂⁴ = C₂³×C₃²⋊C₆	φ: C₂⁴/C₂³ → C₂ ⊆ Out He₃	72		He3:2C2^4	432,558
He₃⋊₃C₂⁴ = C₂³×He₃⋊C₂	φ: C₂⁴/C₂³ → C₂ ⊆ Out He₃	72		He3:3C2^4	432,561

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁