Extensions 1→N→G→Q→1 with N=C₂xC₄ and Q=Dic₇

Direct product G=NxQ with N=C₂xC₄ and Q=Dic₇

		d	ρ	Label	ID
C₂xC₄xDic₇		224		C2xC4xDic7	224,117

Semidirect products G=N:Q with N=C₂xC₄ and Q=Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄):Dic₇ = C₂³:Dic₇	φ: Dic₇/C₇ → C₄ ⊆ Aut C₂xC₄	56	4	(C2xC4):Dic7	224,40
(C₂xC₄):₂Dic₇ = C₁₄.C₄²	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂xC₄	224		(C2xC4):2Dic7	224,37
(C₂xC₄):₃Dic₇ = C₂xC₄:Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂xC₄	224		(C2xC4):3Dic7	224,120
(C₂xC₄):₄Dic₇ = C₂³.₂₁D₁₄	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂xC₄	112		(C2xC4):4Dic7	224,121

Non-split extensions G=N.Q with N=C₂xC₄ and Q=Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄).Dic₇ = C₂₈.₁₀D₄	φ: Dic₇/C₇ → C₄ ⊆ Aut C₂xC₄	112	4	(C2xC4).Dic7	224,42
(C₂xC₄).₂Dic₇ = C₄².D₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂xC₄	224		(C2xC4).2Dic7	224,9
(C₂xC₄).₃Dic₇ = C₂₈:C₈	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂xC₄	224		(C2xC4).3Dic7	224,10
(C₂xC₄).₄Dic₇ = C₂₈.₅₅D₄	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂xC₄	112		(C2xC4).4Dic7	224,36
(C₂xC₄).₅Dic₇ = C₂₈.C₈	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂xC₄	112	2	(C2xC4).5Dic7	224,18
(C₂xC₄).₆Dic₇ = C₂xC₄.Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂xC₄	112		(C2xC4).6Dic7	224,116
(C₂xC₄).₇Dic₇ = C₄xC₇:C₈	central extension (φ=1)	224		(C2xC4).7Dic7	224,8
(C₂xC₄).₈Dic₇ = C₂xC₇:C₁₆	central extension (φ=1)	224		(C2xC4).8Dic7	224,17
(C₂xC₄).₉Dic₇ = C₂²xC₇:C₈	central extension (φ=1)	224		(C2xC4).9Dic7	224,115

׿

x

:

Z

F

o

wr

Q

<