Extensions 1→N→G→Q→1 with N=C₇xDic₇ and Q=C₂

Direct product G=NxQ with N=C₇xDic₇ and Q=C₂

		d	ρ	Label	ID
C₁₄xDic₇		56		C14xDic7	392,26

Semidirect products G=N:Q with N=C₇xDic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇xDic₇):₁C₂ = C₇:D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₇xDic₇	28	4+	(C7xDic7):1C2	392,21
(C₇xDic₇):₂C₂ = D₇xDic₇	φ: C₂/C₁ → C₂ ⊆ Out C₇xDic₇	56	4-	(C7xDic7):2C2	392,18
(C₇xDic₇):₃C₂ = Dic₇:₂D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇xDic₇	28	4+	(C7xDic7):3C2	392,19
(C₇xDic₇):₄C₂ = C₇xC₇:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇xDic₇	28	2	(C7xDic7):4C2	392,27
(C₇xDic₇):₅C₂ = D₇xC₂₈	φ: trivial image	56	2	(C7xDic7):5C2	392,24

Non-split extensions G=N.Q with N=C₇xDic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇xDic₇).₁C₂ = C₇²:₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₇xDic₇	56	4-	(C7xDic7).1C2	392,22
(C₇xDic₇).₂C₂ = C₇xDic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇xDic₇	56	2	(C7xDic7).2C2	392,23

׿

x

:

Z

F

o

wr

Q

<