Extensions 1→N→G→Q→1 with N=C₄xC₂₈ and Q=C₄

Direct product G=NxQ with N=C₄xC₂₈ and Q=C₄

		d	ρ	Label	ID
C₄²xC₂₈		448		C4^2xC28	448,782

Semidirect products G=N:Q with N=C₄xC₂₈ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄xC₂₈):₁C₄ = C₄²:Dic₇	φ: C₄/C₁ → C₄ ⊆ Aut C₄xC₂₈	112	4	(C4xC28):1C4	448,88
(C₄xC₂₈):₂C₄ = C₄²:₂Dic₇	φ: C₄/C₁ → C₄ ⊆ Aut C₄xC₂₈	112	4	(C4xC28):2C4	448,98
(C₄xC₂₈):₃C₄ = C₄²:₃Dic₇	φ: C₄/C₁ → C₄ ⊆ Aut C₄xC₂₈	56	4	(C4xC28):3C4	448,102
(C₄xC₂₈):₄C₄ = C₇xC₄.₉C₄²	φ: C₄/C₁ → C₄ ⊆ Aut C₄xC₂₈	112	4	(C4xC28):4C4	448,141
(C₄xC₂₈):₅C₄ = C₇xC₄²:C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₄xC₂₈	56	4	(C4xC28):5C4	448,157
(C₄xC₂₈):₆C₄ = C₇xC₄²:₃C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₄xC₂₈	112	4	(C4xC28):6C4	448,158
(C₄xC₂₈):₇C₄ = C₄²:₅Dic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	448		(C4xC28):7C4	448,471
(C₄xC₂₈):₈C₄ = C₇xC₄²:₄C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	448		(C4xC28):8C4	448,784
(C₄xC₂₈):₉C₄ = C₇xC₄²:₅C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	448		(C4xC28):9C4	448,791
(C₄xC₂₈):₁₀C₄ = C₄²:₈Dic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	448		(C4xC28):10C4	448,469
(C₄xC₂₈):₁₁C₄ = C₄²:₉Dic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	448		(C4xC28):11C4	448,470
(C₄xC₂₈):₁₂C₄ = C₂₈.₈C₄²	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	112		(C4xC28):12C4	448,80
(C₄xC₂₈):₁₃C₄ = C₄xC₄:Dic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	448		(C4xC28):13C4	448,468
(C₄xC₂₈):₁₄C₄ = C₄²xDic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	448		(C4xC28):14C4	448,464
(C₄xC₂₈):₁₅C₄ = C₄²:₄Dic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	448		(C4xC28):15C4	448,466
(C₄xC₂₈):₁₆C₄ = C₇xC₄²:₆C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	112		(C4xC28):16C4	448,143
(C₄xC₂₈):₁₇C₄ = C₄:C₄xC₂₈	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	448		(C4xC28):17C4	448,786
(C₄xC₂₈):₁₈C₄ = C₇xC₄²:₈C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	448		(C4xC28):18C4	448,790
(C₄xC₂₈):₁₉C₄ = C₇xC₄²:₉C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	448		(C4xC28):19C4	448,792

Non-split extensions G=N.Q with N=C₄xC₂₈ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄xC₂₈).₁C₄ = C₂₈.₁₅C₄²	φ: C₄/C₁ → C₄ ⊆ Aut C₄xC₂₈	112	4	(C4xC28).1C4	448,23
(C₄xC₂₈).₂C₄ = C₄².Dic₇	φ: C₄/C₁ → C₄ ⊆ Aut C₄xC₂₈	112	4	(C4xC28).2C4	448,99
(C₄xC₂₈).₃C₄ = C₄².₃Dic₇	φ: C₄/C₁ → C₄ ⊆ Aut C₄xC₂₈	112	4	(C4xC28).3C4	448,105
(C₄xC₂₈).₄C₄ = C₇xC₁₆:C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₄xC₂₈	112	4	(C4xC28).4C4	448,151
(C₄xC₂₈).₅C₄ = C₇xC₄².C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₄xC₂₈	112	4	(C4xC28).5C4	448,159
(C₄xC₂₈).₆C₄ = C₇xC₄².₃C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₄xC₂₈	112	4	(C4xC28).6C4	448,160
(C₄xC₂₈).₇C₄ = C₇xC₁₆:₅C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	448		(C4xC28).7C4	448,150
(C₄xC₂₈).₈C₄ = C₁₄xC₈:C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	448		(C4xC28).8C4	448,811
(C₄xC₂₈).₉C₄ = C₇xC₄².₁₂C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	224		(C4xC28).9C4	448,839
(C₄xC₂₈).₁₀C₄ = C₇xC₄².₆C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	224		(C4xC28).10C4	448,840
(C₄xC₂₈).₁₁C₄ = C₂₈:₇M₄(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	224		(C4xC28).11C4	448,458
(C₄xC₂₈).₁₂C₄ = C₄².₇Dic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	224		(C4xC28).12C4	448,460
(C₄xC₂₈).₁₃C₄ = C₂₈:C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	448		(C4xC28).13C4	448,19
(C₄xC₂₈).₁₄C₄ = C₅₆.₁₆Q₈	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	112	2	(C4xC28).14C4	448,20
(C₄xC₂₈).₁₅C₄ = C₄xC₄.Dic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	224		(C4xC28).15C4	448,456
(C₄xC₂₈).₁₆C₄ = C₂xC₂₈:C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	448		(C4xC28).16C4	448,457
(C₄xC₂₈).₁₇C₄ = C₄xC₇:C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	448		(C4xC28).17C4	448,17
(C₄xC₂₈).₁₈C₄ = C₅₆.C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	448		(C4xC28).18C4	448,18
(C₄xC₂₈).₁₉C₄ = C₂xC₄xC₇:C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	448		(C4xC28).19C4	448,454
(C₄xC₂₈).₂₀C₄ = C₂xC₄².D₇	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	448		(C4xC28).20C4	448,455
(C₄xC₂₈).₂₁C₄ = C₄².₆Dic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	224		(C4xC28).21C4	448,459
(C₄xC₂₈).₂₂C₄ = C₇xC₄:C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	448		(C4xC28).22C4	448,167
(C₄xC₂₈).₂₃C₄ = C₇xC₈.C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	112	2	(C4xC28).23C4	448,168
(C₄xC₂₈).₂₄C₄ = M₄(2)xC₂₈	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	224		(C4xC28).24C4	448,812
(C₄xC₂₈).₂₅C₄ = C₁₄xC₄:C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	448		(C4xC28).25C4	448,830
(C₄xC₂₈).₂₆C₄ = C₇xC₄:M₄(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₄xC₂₈	224		(C4xC28).26C4	448,831

Extensions 1→N→G→Q→1 with N=C4xC28 and Q=C4

Extensions 1→N→G→Q→1 with N=C₄xC₂₈ and Q=C₄