Extensions 1→N→G→Q→1 with N=C₂² and Q=C₄²

Direct product G=NxQ with N=C₂² and Q=C₄²

		d	ρ	Label	ID
C₂²xC₄²		64		C2^2xC4^2	64,192

Semidirect products G=N:Q with N=C₂² and Q=C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:C₄² = C₄xC₂²:C₄	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂²	32		C2^2:C4^2	64,58

Non-split extensions G=N.Q with N=C₂² and Q=C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁C₄² = C₂³.₉D₄	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂²	16		C2^2.1C4^2	64,23
C₂².₂C₄² = C₂².C₄²	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂²	32		C2^2.2C4^2	64,24
C₂².₃C₄² = M₄(2):₄C₄	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂²	16	4	C2^2.3C4^2	64,25
C₂².₄C₄² = C₄xM₄(2)	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂²	32		C2^2.4C4^2	64,85
C₂².₅C₄² = C₈o₂M₄(2)	φ: C₄²/C₂xC₄ → C₂ ⊆ Aut C₂²	32		C2^2.5C4^2	64,86
C₂².₆C₄² = C₈:C₈	central extension (φ=1)	64		C2^2.6C4^2	64,3
C₂².₇C₄² = C₂².₇C₄²	central extension (φ=1)	64		C2^2.7C4^2	64,17
C₂².₈C₄² = C₂xC₂.C₄²	central extension (φ=1)	64		C2^2.8C4^2	64,56
C₂².₉C₄² = C₂xC₈:C₄	central extension (φ=1)	64		C2^2.9C4^2	64,84

׿

x

:

Z

F

o

wr

Q

<