Extensions 1→N→G→Q→1 with N=C₃₂ and Q=C₄

Direct product G=NxQ with N=C₃₂ and Q=C₄

		d	ρ	Label	ID
C₄xC₃₂		128		C4xC32	128,128

Semidirect products G=N:Q with N=C₃₂ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₂:₁C₄ = C₈.Q₁₆	φ: C₄/C₁ → C₄ ⊆ Aut C₃₂	32	4	C32:1C4	128,158
C₃₂:₂C₄ = C₃₂:C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₃₂	32	4	C32:2C4	128,130
C₃₂:₃C₄ = C₃₂:₃C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₃₂	128		C32:3C4	128,155
C₃₂:₄C₄ = C₃₂:₄C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₃₂	128		C32:4C4	128,156
C₃₂:₅C₄ = C₃₂:₅C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₃₂	128		C32:5C4	128,129

Non-split extensions G=N.Q with N=C₃₂ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₂.₁C₄ = C₃₂.C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₃₂	64	2	C32.1C4	128,157
C₃₂.₂C₄ = M₇(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₃₂	64	2	C32.2C4	128,160

׿

x

:

Z

F

o

wr

Q

<