Extensions 1→N→G→Q→1 with N=C₂xD₄ and Q=C₃xC₆

Direct product G=NxQ with N=C₂xD₄ and Q=C₃xC₆

		d	ρ	Label	ID
D₄xC₆²		144		D4xC6^2	288,1019

Semidirect products G=N:Q with N=C₂xD₄ and Q=C₃xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xD₄):₁(C₃xC₆) = C₃²xC₂²wrC₂	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₂xD₄	72		(C2xD4):1(C3xC6)	288,817
(C₂xD₄):₂(C₃xC₆) = C₃²xC₄:D₄	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₂xD₄	144		(C2xD4):2(C3xC6)	288,818
(C₂xD₄):₃(C₃xC₆) = C₃²xC₄:₁D₄	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₂xD₄	144		(C2xD4):3(C3xC6)	288,824
(C₂xD₄):₄(C₃xC₆) = D₈xC₃xC₆	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₂xD₄	144		(C2xD4):4(C3xC6)	288,829
(C₂xD₄):₅(C₃xC₆) = C₃²xC₈:C₂²	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₂xD₄	72		(C2xD4):5(C3xC6)	288,833
(C₂xD₄):₆(C₃xC₆) = C₃²x2₊¹⁺⁴	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₂xD₄	72		(C2xD4):6(C3xC6)	288,1022
(C₂xD₄):₇(C₃xC₆) = C₄oD₄xC₃xC₆	φ: trivial image	144		(C2xD4):7(C3xC6)	288,1021

Non-split extensions G=N.Q with N=C₂xD₄ and Q=C₃xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xD₄).₁(C₃xC₆) = C₃²xC₂³:C₄	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₂xD₄	72		(C2xD4).1(C3xC6)	288,317
(C₂xD₄).₂(C₃xC₆) = C₃²xC₄.D₄	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₂xD₄	72		(C2xD4).2(C3xC6)	288,318
(C₂xD₄).₃(C₃xC₆) = C₃²xD₄:C₄	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₂xD₄	144		(C2xD4).3(C3xC6)	288,320
(C₂xD₄).₄(C₃xC₆) = C₃²xC₂².D₄	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₂xD₄	144		(C2xD4).4(C3xC6)	288,820
(C₂xD₄).₅(C₃xC₆) = C₃²xC₄.₄D₄	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₂xD₄	144		(C2xD4).5(C3xC6)	288,821
(C₂xD₄).₆(C₃xC₆) = SD₁₆xC₃xC₆	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₂xD₄	144		(C2xD4).6(C3xC6)	288,830
(C₂xD₄).₇(C₃xC₆) = D₄xC₃xC₁₂	φ: trivial image	144		(C2xD4).7(C3xC6)	288,815

׿

x

:

Z

F

o

wr

Q

<