Extensions 1→N→G→Q→1 with N=He₃ and Q=C₄²

Direct product G=N×Q with N=He₃ and Q=C₄²

		d	ρ	Label	ID
C₄²×He₃		144		C4^2xHe3	432,201

Semidirect products G=N:Q with N=He₃ and Q=C₄²

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊₁C₄² = C₄×He₃⋊C₄	φ: C₄²/C₄ → C₄ ⊆ Out He₃	72	3	He3:1C4^2	432,275
He₃⋊₂C₄² = He₃⋊C₄²	φ: C₄²/C₂² → C₂² ⊆ Out He₃	144		He3:2C4^2	432,94
He₃⋊₃C₄² = C₄×C₃²⋊C₁₂	φ: C₄²/C₂×C₄ → C₂ ⊆ Out He₃	144		He3:3C4^2	432,138
He₃⋊₄C₄² = C₄×He₃⋊₃C₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Out He₃	144		He3:4C4^2	432,186

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁