Extensions 1→N→G→Q→1 with N=C₂²xC₆ and Q=D₉

Direct product G=NxQ with N=C₂²xC₆ and Q=D₉

		d	ρ	Label	ID
D₉xC₂²xC₆		144		D9xC2^2xC6	432,556

Semidirect products G=N:Q with N=C₂²xC₆ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²xC₆):₁D₉ = C₆xC₃.S₄	φ: D₉/C₃ → S₃ ⊆ Aut C₂²xC₆	36	6	(C2^2xC6):1D9	432,534
(C₂²xC₆):₂D₉ = C₂xC₃².₃S₄	φ: D₉/C₃ → S₃ ⊆ Aut C₂²xC₆	54		(C2^2xC6):2D9	432,537
(C₂²xC₆):₃D₉ = C₆xC₉:D₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂²xC₆	72		(C2^2xC6):3D9	432,374
(C₂²xC₆):₄D₉ = C₂xC₆.D₁₈	φ: D₉/C₉ → C₂ ⊆ Aut C₂²xC₆	216		(C2^2xC6):4D9	432,397
(C₂²xC₆):₅D₉ = C₂³xC₉:S₃	φ: D₉/C₉ → C₂ ⊆ Aut C₂²xC₆	216		(C2^2xC6):5D9	432,560

Non-split extensions G=N.Q with N=C₂²xC₆ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²xC₆).₁D₉ = C₃xC₆.S₄	φ: D₉/C₃ → S₃ ⊆ Aut C₂²xC₆	36	6	(C2^2xC6).1D9	432,250
(C₂²xC₆).₂D₉ = C₁₈.S₄	φ: D₉/C₃ → S₃ ⊆ Aut C₂²xC₆	108	6-	(C2^2xC6).2D9	432,39
(C₂²xC₆).₃D₉ = C₂xC₉.S₄	φ: D₉/C₃ → S₃ ⊆ Aut C₂²xC₆	54	6+	(C2^2xC6).3D9	432,224
(C₂²xC₆).₄D₉ = C₆².₁₀Dic₃	φ: D₉/C₃ → S₃ ⊆ Aut C₂²xC₆	108		(C2^2xC6).4D9	432,259
(C₂²xC₆).₅D₉ = C₃xC₁₈.D₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂²xC₆	72		(C2^2xC6).5D9	432,164
(C₂²xC₆).₆D₉ = C₅₄.D₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂²xC₆	216		(C2^2xC6).6D9	432,19
(C₂²xC₆).₇D₉ = C₂²xDic₂₇	φ: D₉/C₉ → C₂ ⊆ Aut C₂²xC₆	432		(C2^2xC6).7D9	432,51
(C₂²xC₆).₈D₉ = C₂xC₂₇:D₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂²xC₆	216		(C2^2xC6).8D9	432,52
(C₂²xC₆).₉D₉ = C₆².₁₂₇D₆	φ: D₉/C₉ → C₂ ⊆ Aut C₂²xC₆	216		(C2^2xC6).9D9	432,198
(C₂²xC₆).₁₀D₉ = C₂³xD₂₇	φ: D₉/C₉ → C₂ ⊆ Aut C₂²xC₆	216		(C2^2xC6).10D9	432,227
(C₂²xC₆).₁₁D₉ = C₂²xC₉:Dic₃	φ: D₉/C₉ → C₂ ⊆ Aut C₂²xC₆	432		(C2^2xC6).11D9	432,396
(C₂²xC₆).₁₂D₉ = C₂xC₆xDic₉	central extension (φ=1)	144		(C2^2xC6).12D9	432,372

׿

x

:

Z

F

o

wr

Q

<