Extensions 1→N→G→Q→1 with N=C₂³xDic₇ and Q=C₂

Direct product G=NxQ with N=C₂³xDic₇ and Q=C₂

		d	ρ	Label	ID
C₂⁴xDic₇		448		C2^4xDic7	448,1383

Semidirect products G=N:Q with N=C₂³xDic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³xDic₇):₁C₂ = C₂³.₄₅D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₇	224		(C2^3xDic7):1C2	448,492
(C₂³xDic₇):₂C₂ = C₂⁴.₁₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₇	224		(C2^3xDic7):2C2	448,754
(C₂³xDic₇):₃C₂ = C₂xDic₇:₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₇	224		(C2^3xDic7):3C2	448,938
(C₂³xDic₇):₄C₂ = C₂xC₂².D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₇	224		(C2^3xDic7):4C2	448,945
(C₂³xDic₇):₅C₂ = C₂⁴.₅₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₇	112		(C2^3xDic7):5C2	448,1039
(C₂³xDic₇):₆C₂ = C₂²xD₁₄:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₇	224		(C2^3xDic7):6C2	448,1240
(C₂³xDic₇):₇C₂ = C₂xD₄xDic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₇	224		(C2^3xDic7):7C2	448,1248
(C₂³xDic₇):₈C₂ = C₂xC₂³.₁₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₇	224		(C2^3xDic7):8C2	448,1249
(C₂³xDic₇):₉C₂ = C₂xDic₇:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₇	224		(C2^3xDic7):9C2	448,1255
(C₂³xDic₇):₁₀C₂ = C₂²xC₂³.D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₇	224		(C2^3xDic7):10C2	448,1292
(C₂³xDic₇):₁₁C₂ = C₂²xD₄:₂D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₇	224		(C2^3xDic7):11C2	448,1370
(C₂³xDic₇):₁₂C₂ = C₂³xC₇:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₇	224		(C2^3xDic7):12C2	448,1384
(C₂³xDic₇):₁₃C₂ = D₇xC₂³xC₄	φ: trivial image	224		(C2^3xDic7):13C2	448,1366

Non-split extensions G=N.Q with N=C₂³xDic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³xDic₇).₁C₂ = C₂²:C₄xDic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₇	224		(C2^3xDic7).1C2	448,475
(C₂³xDic₇).₂C₂ = C₂⁴.₄₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₇	224		(C2^3xDic7).2C2	448,476
(C₂³xDic₇).₃C₂ = C₂³.₄₂D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₇	224		(C2^3xDic7).3C2	448,477
(C₂³xDic₇).₄C₂ = C₂⁴.₄₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₇	224		(C2^3xDic7).4C2	448,480
(C₂³xDic₇).₅C₂ = C₂⁴.₄₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₇	224		(C2^3xDic7).5C2	448,484
(C₂³xDic₇).₆C₂ = C₂xC₁₄.C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₇	448		(C2^3xDic7).6C2	448,742
(C₂³xDic₇).₇C₂ = C₂xC₂³.₁₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₇	224		(C2^3xDic7).7C2	448,933
(C₂³xDic₇).₈C₂ = C₂xC₂²:Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₇	224		(C2^3xDic7).8C2	448,934
(C₂³xDic₇).₉C₂ = C₂²xDic₇:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₇	448		(C2^3xDic7).9C2	448,1236
(C₂³xDic₇).₁₀C₂ = C₂²xC₄:Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₇	448		(C2^3xDic7).10C2	448,1238
(C₂³xDic₇).₁₁C₂ = C₂³xDic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³xDic₇	448		(C2^3xDic7).11C2	448,1365
(C₂³xDic₇).₁₂C₂ = C₂²xC₄xDic₇	φ: trivial image	448		(C2^3xDic7).12C2	448,1235

׿

x

:

Z

F

o

wr

Q

<