Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂xC₄₆

Direct product G=NxQ with N=C₂² and Q=C₂xC₄₆

		d	ρ	Label	ID
C₂³xC₄₆		368		C2^3xC46	368,42

Semidirect products G=N:Q with N=C₂² and Q=C₂xC₄₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:(C₂xC₄₆) = D₄xC₄₆	φ: C₂xC₄₆/C₄₆ → C₂ ⊆ Aut C₂²	184		C2^2:(C2xC46)	368,38

Non-split extensions G=N.Q with N=C₂² and Q=C₂xC₄₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₂xC₄₆) = C₄oD₄xC₂₃	φ: C₂xC₄₆/C₄₆ → C₂ ⊆ Aut C₂²	184	2	C2^2.(C2xC46)	368,40
C₂².₂(C₂xC₄₆) = C₂²:C₄xC₂₃	central extension (φ=1)	184		C2^2.2(C2xC46)	368,20
C₂².₃(C₂xC₄₆) = C₄:C₄xC₂₃	central extension (φ=1)	368		C2^2.3(C2xC46)	368,21
C₂².₄(C₂xC₄₆) = Q₈xC₄₆	central extension (φ=1)	368		C2^2.4(C2xC46)	368,39

׿

x

:

Z

F

o

wr

Q

<