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

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

		d	ρ	Label	ID
C₂⁴xHe₃		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 = C₂²xC₃²: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

׿

x

:

Z

F

o

wr

Q

<