Extensions 1→N→G→Q→1 with N=C₆xC₃:C₈ and Q=C₂

Direct product G=NxQ with N=C₆xC₃:C₈ and Q=C₂

		d	ρ	Label	ID
C₂xC₆xC₃:C₈		96		C2xC6xC3:C8	288,691

Semidirect products G=N:Q with N=C₆xC₃:C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xC₃:C₈):₁C₂ = C₁₂.₇₇D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8):1C2	288,204
(C₆xC₃:C₈):₂C₂ = C₁₂.₇₈D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	48		(C6xC3:C8):2C2	288,205
(C₆xC₃:C₈):₃C₂ = C₆.₁₆D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8):3C2	288,211
(C₆xC₃:C₈):₄C₂ = C₆.₁₇D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	48		(C6xC3:C8):4C2	288,212
(C₆xC₃:C₈):₅C₂ = C₃xC₆.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8):5C2	288,243
(C₆xC₃:C₈):₆C₂ = C₃xD₆:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8):6C2	288,254
(C₆xC₃:C₈):₇C₂ = C₃xC₁₂.₅₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	48		(C6xC3:C8):7C2	288,264
(C₆xC₃:C₈):₈C₂ = C₃xD₄:Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	48		(C6xC3:C8):8C2	288,266
(C₆xC₃:C₈):₉C₂ = C₂xC₃:D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	48		(C6xC3:C8):9C2	288,472
(C₆xC₃:C₈):₁₀C₂ = D₁₂.₂₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	48	4	(C6xC3:C8):10C2	288,477
(C₆xC₃:C₈):₁₁C₂ = C₂xD₁₂.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8):11C2	288,476
(C₆xC₃:C₈):₁₂C₂ = C₂xC₃²:₅SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	48		(C6xC3:C8):12C2	288,480
(C₆xC₃:C₈):₁₃C₂ = C₆xD₄:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	48		(C6xC3:C8):13C2	288,702
(C₆xC₃:C₈):₁₄C₂ = C₃xQ₈.₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	48	4	(C6xC3:C8):14C2	288,721
(C₆xC₃:C₈):₁₅C₂ = C₂xS₃xC₃:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8):15C2	288,460
(C₆xC₃:C₈):₁₆C₂ = D₁₂.₂Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	48	4	(C6xC3:C8):16C2	288,462
(C₆xC₃:C₈):₁₇C₂ = C₂xC₁₂.₂₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	48		(C6xC3:C8):17C2	288,464
(C₆xC₃:C₈):₁₈C₂ = C₃:C₈.₂₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	48	4	(C6xC3:C8):18C2	288,465
(C₆xC₃:C₈):₁₉C₂ = C₂xD₆.Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8):19C2	288,467
(C₆xC₃:C₈):₂₀C₂ = C₂xC₁₂.₃₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	48		(C6xC3:C8):20C2	288,468
(C₆xC₃:C₈):₂₁C₂ = C₆xD₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	48		(C6xC3:C8):21C2	288,704
(C₆xC₃:C₈):₂₂C₂ = C₆xQ₈:₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8):22C2	288,712
(C₆xC₃:C₈):₂₃C₂ = C₆xC₈:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8):23C2	288,671
(C₆xC₃:C₈):₂₄C₂ = C₃xD₁₂.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	48	4	(C6xC3:C8):24C2	288,678
(C₆xC₃:C₈):₂₅C₂ = C₆xC₄.Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	48		(C6xC3:C8):25C2	288,692
(C₆xC₃:C₈):₂₆C₂ = C₃xD₄.Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	48	4	(C6xC3:C8):26C2	288,719
(C₆xC₃:C₈):₂₇C₂ = S₃xC₂xC₂₄	φ: trivial image	96		(C6xC3:C8):27C2	288,670

Non-split extensions G=N.Q with N=C₆xC₃:C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xC₃:C₈).₁C₂ = C₆.Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8).1C2	288,214
(C₆xC₃:C₈).₂C₂ = C₁₂.₇₃D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8).2C2	288,215
(C₆xC₃:C₈).₃C₂ = C₁₂.₈₁D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8).3C2	288,219
(C₆xC₃:C₈).₄C₂ = C₁₂.₁₅Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8).4C2	288,220
(C₆xC₃:C₈).₅C₂ = C₃xC₁₂:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8).5C2	288,238
(C₆xC₃:C₈).₆C₂ = C₃xC₆.SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8).6C2	288,244
(C₆xC₃:C₈).₇C₂ = C₃xDic₃:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8).7C2	288,248
(C₆xC₃:C₈).₈C₂ = C₃xQ₈:₂Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8).8C2	288,269
(C₆xC₃:C₈).₉C₂ = C₆.₁₈D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8).9C2	288,223
(C₆xC₃:C₈).₁₀C₂ = C₂xC₃²:₃Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8).10C2	288,483
(C₆xC₃:C₈).₁₁C₂ = C₁₂.₈₂D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	48	4	(C6xC3:C8).11C2	288,225
(C₆xC₃:C₈).₁₂C₂ = C₁₂.Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8).12C2	288,221
(C₆xC₃:C₈).₁₃C₂ = C₃xC₆.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8).13C2	288,241
(C₆xC₃:C₈).₁₄C₂ = C₆xC₃:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8).14C2	288,714
(C₆xC₃:C₈).₁₅C₂ = C₃xC₁₂.₅₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	48	4	(C6xC3:C8).15C2	288,256
(C₆xC₃:C₈).₁₆C₂ = Dic₃xC₃:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8).16C2	288,200
(C₆xC₃:C₈).₁₇C₂ = C₆.(S₃xC₈)	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8).17C2	288,201
(C₆xC₃:C₈).₁₈C₂ = C₃:C₈:Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8).18C2	288,202
(C₆xC₃:C₈).₁₉C₂ = C₂.Dic₃²	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8).19C2	288,203
(C₆xC₃:C₈).₂₀C₂ = C₃xC₁₂.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8).20C2	288,242
(C₆xC₃:C₈).₂₁C₂ = C₃xC₄².S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8).21C2	288,237
(C₆xC₃:C₈).₂₂C₂ = C₃xC₂₄:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆xC₃:C₈	96		(C6xC3:C8).22C2	288,249
(C₆xC₃:C₈).₂₃C₂ = C₁₂xC₃:C₈	φ: trivial image	96		(C6xC3:C8).23C2	288,236
(C₆xC₃:C₈).₂₄C₂ = Dic₃xC₂₄	φ: trivial image	96		(C6xC3:C8).24C2	288,247

Extensions 1→N→G→Q→1 with N=C6xC3:C8 and Q=C2

Extensions 1→N→G→Q→1 with N=C₆xC₃:C₈ and Q=C₂