Extensions 1→N→G→Q→1 with N=C₄ and Q=C₄xA₄

Direct product G=NxQ with N=C₄ and Q=C₄xA₄

		d	ρ	Label	ID
A₄xC₄²		48		A4xC4^2	192,993

Semidirect products G=N:Q with N=C₄ and Q=C₄xA₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:(C₄xA₄) = A₄xC₄:C₄	φ: C₄xA₄/C₂xA₄ → C₂ ⊆ Aut C₄	48		C4:(C4xA4)	192,995

Non-split extensions G=N.Q with N=C₄ and Q=C₄xA₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₄xA₄) = C₄oD₄:C₁₂	φ: C₄xA₄/C₂xA₄ → C₂ ⊆ Aut C₄	64		C4.1(C4xA4)	192,999
C₄.₂(C₄xA₄) = A₄xM₄(2)	φ: C₄xA₄/C₂xA₄ → C₂ ⊆ Aut C₄	24	6	C4.2(C4xA4)	192,1011
C₄.₃(C₄xA₄) = M₄(2).A₄	φ: C₄xA₄/C₂xA₄ → C₂ ⊆ Aut C₄	32	4	C4.3(C4xA4)	192,1013
C₄.₄(C₄xA₄) = A₄xC₁₆	central extension (φ=1)	48	3	C4.4(C4xA4)	192,203
C₄.₅(C₄xA₄) = C₁₆.A₄	central extension (φ=1)	64	2	C4.5(C4xA4)	192,204
C₄.₆(C₄xA₄) = C₄xC₄.A₄	central extension (φ=1)	64		C4.6(C4xA4)	192,997
C₄.₇(C₄xA₄) = A₄xC₂xC₈	central extension (φ=1)	48		C4.7(C4xA4)	192,1010
C₄.₈(C₄xA₄) = C₂xC₈.A₄	central extension (φ=1)	64		C4.8(C4xA4)	192,1012

׿

x

:

Z

F

o

wr

Q

<