Extensions 1→N→G→Q→1 with N=C₂xC₃²:C₆ and Q=C₄

Direct product G=NxQ with N=C₂xC₃²:C₆ and Q=C₄

		d	ρ	Label	ID
C₂xC₄xC₃²:C₆		72		C2xC4xC3^2:C6	432,349

Semidirect products G=N:Q with N=C₂xC₃²:C₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃²:C₆):₁C₄ = C₆².₄D₆	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₃²:C₆	72		(C2xC3^2:C6):1C4	432,97
(C₂xC₃²:C₆):₂C₄ = C₆².₂₁D₆	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₃²:C₆	72		(C2xC3^2:C6):2C4	432,141
(C₂xC₃²:C₆):₃C₄ = C₂xC₆.S₃²	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₃²:C₆	72		(C2xC3^2:C6):3C4	432,317

Non-split extensions G=N.Q with N=C₂xC₃²:C₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃²:C₆).₁C₄ = C₃²:C₆:C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₃²:C₆	72	6	(C2xC3^2:C6).1C4	432,76
(C₂xC₃²:C₆).₂C₄ = He₃:M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₃²:C₆	72	6	(C2xC3^2:C6).2C4	432,77
(C₂xC₃²:C₆).₃C₄ = He₃:₅M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₃²:C₆	72	6	(C2xC3^2:C6).3C4	432,116
(C₂xC₃²:C₆).₄C₄ = C₈xC₃²:C₆	φ: trivial image	72	6	(C2xC3^2:C6).4C4	432,115

׿

x

:

Z

F

o

wr

Q

<