Extensions 1→N→G→Q→1 with N=C₆xC₂₄ and Q=C₂

Direct product G=NxQ with N=C₆xC₂₄ and Q=C₂

		d	ρ	Label	ID
C₂xC₆xC₂₄		288		C2xC6xC24	288,826

Semidirect products G=N:Q with N=C₆xC₂₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₆xC₂₄):₁C₂ = C₃xD₆:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	96		(C6xC24):1C2	288,254
(C₆xC₂₄):₂C₂ = C₃xC₂.D₂₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	96		(C6xC24):2C2	288,255
(C₆xC₂₄):₃C₂ = C₁₂.₆₀D₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	144		(C6xC24):3C2	288,295
(C₆xC₂₄):₄C₂ = C₆².₈₄D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	144		(C6xC24):4C2	288,296
(C₆xC₂₄):₅C₂ = C₃²xC₂²:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	144		(C6xC24):5C2	288,316
(C₆xC₂₄):₆C₂ = C₃²xD₄:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	144		(C6xC24):6C2	288,320
(C₆xC₂₄):₇C₂ = C₂xC₃²:₅D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	144		(C6xC24):7C2	288,760
(C₆xC₂₄):₈C₂ = C₂₄.₇₈D₆	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	144		(C6xC24):8C2	288,761
(C₆xC₂₄):₉C₂ = C₃xC₄oD₂₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	48	2	(C6xC24):9C2	288,675
(C₆xC₂₄):₁₀C₂ = C₆xD₂₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	96		(C6xC24):10C2	288,674
(C₆xC₂₄):₁₁C₂ = C₂xC₂₄:₂S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	144		(C6xC24):11C2	288,759
(C₆xC₂₄):₁₂C₂ = C₆xC₂₄:C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	96		(C6xC24):12C2	288,673
(C₆xC₂₄):₁₃C₂ = D₈xC₃xC₆	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	144		(C6xC24):13C2	288,829
(C₆xC₂₄):₁₄C₂ = C₃²xC₄oD₈	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	144		(C6xC24):14C2	288,832
(C₆xC₂₄):₁₅C₂ = S₃xC₂xC₂₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	96		(C6xC24):15C2	288,670
(C₆xC₂₄):₁₆C₂ = C₂xC₈xC₃:S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	144		(C6xC24):16C2	288,756
(C₆xC₂₄):₁₇C₂ = C₂xC₂₄:S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	144		(C6xC24):17C2	288,757
(C₆xC₂₄):₁₈C₂ = C₂₄.₉₅D₆	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	144		(C6xC24):18C2	288,758
(C₆xC₂₄):₁₉C₂ = C₆xC₈:S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	96		(C6xC24):19C2	288,671
(C₆xC₂₄):₂₀C₂ = C₃xC₈oD₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	48	2	(C6xC24):20C2	288,672
(C₆xC₂₄):₂₁C₂ = SD₁₆xC₃xC₆	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	144		(C6xC24):21C2	288,830
(C₆xC₂₄):₂₂C₂ = M₄(2)xC₃xC₆	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	144		(C6xC24):22C2	288,827
(C₆xC₂₄):₂₃C₂ = C₃²xC₈oD₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	144		(C6xC24):23C2	288,828

Non-split extensions G=N.Q with N=C₆xC₂₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₆xC₂₄).₁C₂ = C₃xDic₃:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	96		(C6xC24).1C2	288,248
(C₆xC₂₄).₂C₂ = C₃xC₂.Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	96		(C6xC24).2C2	288,250
(C₆xC₂₄).₃C₂ = C₁₂.₃₀Dic₆	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	288		(C6xC24).3C2	288,289
(C₆xC₂₄).₄C₂ = C₆.₄Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	288		(C6xC24).4C2	288,291
(C₆xC₂₄).₅C₂ = C₃²xQ₈:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	288		(C6xC24).5C2	288,321
(C₆xC₂₄).₆C₂ = C₃²xC₄:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	288		(C6xC24).6C2	288,323
(C₆xC₂₄).₇C₂ = C₂₄:₁Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	288		(C6xC24).7C2	288,293
(C₆xC₂₄).₈C₂ = C₂xC₃²:₅Q₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	288		(C6xC24).8C2	288,762
(C₆xC₂₄).₉C₂ = C₁₂.₅₉D₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	144		(C6xC24).9C2	288,294
(C₆xC₂₄).₁₀C₂ = C₃xC₂₄.C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	48	2	(C6xC24).10C2	288,253
(C₆xC₂₄).₁₁C₂ = C₃xC₂₄:₁C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	96		(C6xC24).11C2	288,252
(C₆xC₂₄).₁₂C₂ = C₆xDic₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	96		(C6xC24).12C2	288,676
(C₆xC₂₄).₁₃C₂ = C₂₄:₂Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	288		(C6xC24).13C2	288,292
(C₆xC₂₄).₁₄C₂ = C₃xC₈:Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	96		(C6xC24).14C2	288,251
(C₆xC₂₄).₁₅C₂ = C₃²xC₂.D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	288		(C6xC24).15C2	288,325
(C₆xC₂₄).₁₆C₂ = Q₁₆xC₃xC₆	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	288		(C6xC24).16C2	288,831
(C₆xC₂₄).₁₇C₂ = C₃²xC₈.C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	144		(C6xC24).17C2	288,326
(C₆xC₂₄).₁₈C₂ = C₆xC₃:C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	96		(C6xC24).18C2	288,245
(C₆xC₂₄).₁₉C₂ = Dic₃xC₂₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	96		(C6xC24).19C2	288,247
(C₆xC₂₄).₂₀C₂ = C₂xC₂₄.S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	288		(C6xC24).20C2	288,286
(C₆xC₂₄).₂₁C₂ = C₂₄.₉₄D₆	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	144		(C6xC24).21C2	288,287
(C₆xC₂₄).₂₂C₂ = C₈xC₃:Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	288		(C6xC24).22C2	288,288
(C₆xC₂₄).₂₃C₂ = C₂₄:Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	288		(C6xC24).23C2	288,290
(C₆xC₂₄).₂₄C₂ = C₃xC₁₂.C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	48	2	(C6xC24).24C2	288,246
(C₆xC₂₄).₂₅C₂ = C₃xC₂₄:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	96		(C6xC24).25C2	288,249
(C₆xC₂₄).₂₆C₂ = C₃²xC₄.Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	288		(C6xC24).26C2	288,324
(C₆xC₂₄).₂₇C₂ = C₃²xC₈:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	288		(C6xC24).27C2	288,315
(C₆xC₂₄).₂₈C₂ = C₃²xM₅(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₆xC₂₄	144		(C6xC24).28C2	288,328

Extensions 1→N→G→Q→1 with N=C6xC24 and Q=C2

Extensions 1→N→G→Q→1 with N=C₆xC₂₄ and Q=C₂