Extensions 1→N→G→Q→1 with N=C₂xC₂₄ and Q=C₆

Direct product G=NxQ with N=C₂xC₂₄ and Q=C₆

		d	ρ	Label	ID
C₂xC₆xC₂₄		288		C2xC6xC24	288,826

Semidirect products G=N:Q with N=C₂xC₂₄ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₂₄):₁C₆ = C₃xD₆:C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	96		(C2xC24):1C6	288,254
(C₂xC₂₄):₂C₆ = C₃xC₂.D₂₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	96		(C2xC24):2C6	288,255
(C₂xC₂₄):₃C₆ = C₃²xC₂²:C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	144		(C2xC24):3C6	288,316
(C₂xC₂₄):₄C₆ = C₃²xD₄:C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	144		(C2xC24):4C6	288,320
(C₂xC₂₄):₅C₆ = C₆xD₂₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	96		(C2xC24):5C6	288,674
(C₂xC₂₄):₆C₆ = C₃xC₄oD₂₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	48	2	(C2xC24):6C6	288,675
(C₂xC₂₄):₇C₆ = C₆xC₂₄:C₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	96		(C2xC24):7C6	288,673
(C₂xC₂₄):₈C₆ = D₈xC₃xC₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	144		(C2xC24):8C6	288,829
(C₂xC₂₄):₉C₆ = C₃²xC₄oD₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	144		(C2xC24):9C6	288,832
(C₂xC₂₄):₁₀C₆ = S₃xC₂xC₂₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	96		(C2xC24):10C6	288,670
(C₂xC₂₄):₁₁C₆ = C₆xC₈:S₃	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	96		(C2xC24):11C6	288,671
(C₂xC₂₄):₁₂C₆ = C₃xC₈oD₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	48	2	(C2xC24):12C6	288,672
(C₂xC₂₄):₁₃C₆ = SD₁₆xC₃xC₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	144		(C2xC24):13C6	288,830
(C₂xC₂₄):₁₄C₆ = M₄(2)xC₃xC₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	144		(C2xC24):14C6	288,827
(C₂xC₂₄):₁₅C₆ = C₃²xC₈oD₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	144		(C2xC24):15C6	288,828

Non-split extensions G=N.Q with N=C₂xC₂₄ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₂₄).₁C₆ = C₉xC₂²:C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	144		(C2xC24).1C6	288,48
(C₂xC₂₄).₂C₆ = C₉xD₄:C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	144		(C2xC24).2C6	288,52
(C₂xC₂₄).₃C₆ = C₉xQ₈:C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	288		(C2xC24).3C6	288,53
(C₂xC₂₄).₄C₆ = C₉xC₄:C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	288		(C2xC24).4C6	288,55
(C₂xC₂₄).₅C₆ = C₃xDic₃:C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	96		(C2xC24).5C6	288,248
(C₂xC₂₄).₆C₆ = C₃xC₂.Dic₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	96		(C2xC24).6C6	288,250
(C₂xC₂₄).₇C₆ = C₃²xQ₈:C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	288		(C2xC24).7C6	288,321
(C₂xC₂₄).₈C₆ = C₃²xC₄:C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	288		(C2xC24).8C6	288,323
(C₂xC₂₄).₉C₆ = C₃xC₂₄:₁C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	96		(C2xC24).9C6	288,252
(C₂xC₂₄).₁₀C₆ = C₆xDic₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	96		(C2xC24).10C6	288,676
(C₂xC₂₄).₁₁C₆ = C₃xC₂₄.C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	48	2	(C2xC24).11C6	288,253
(C₂xC₂₄).₁₂C₆ = C₃xC₈:Dic₃	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	96		(C2xC24).12C6	288,251
(C₂xC₂₄).₁₃C₆ = C₉xC₂.D₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	288		(C2xC24).13C6	288,57
(C₂xC₂₄).₁₄C₆ = D₈xC₁₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	144		(C2xC24).14C6	288,182
(C₂xC₂₄).₁₅C₆ = Q₁₆xC₁₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	288		(C2xC24).15C6	288,184
(C₂xC₂₄).₁₆C₆ = C₃²xC₂.D₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	288		(C2xC24).16C6	288,325
(C₂xC₂₄).₁₇C₆ = Q₁₆xC₃xC₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	288		(C2xC24).17C6	288,831
(C₂xC₂₄).₁₈C₆ = C₉xC₈.C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	144	2	(C2xC24).18C6	288,58
(C₂xC₂₄).₁₉C₆ = C₉xC₄oD₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	144	2	(C2xC24).19C6	288,185
(C₂xC₂₄).₂₀C₆ = C₃²xC₈.C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	144		(C2xC24).20C6	288,326
(C₂xC₂₄).₂₁C₆ = C₆xC₃:C₁₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	96		(C2xC24).21C6	288,245
(C₂xC₂₄).₂₂C₆ = C₃xC₁₂.C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	48	2	(C2xC24).22C6	288,246
(C₂xC₂₄).₂₃C₆ = Dic₃xC₂₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	96		(C2xC24).23C6	288,247
(C₂xC₂₄).₂₄C₆ = C₃xC₂₄:C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	96		(C2xC24).24C6	288,249
(C₂xC₂₄).₂₅C₆ = C₉xC₄.Q₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	288		(C2xC24).25C6	288,56
(C₂xC₂₄).₂₆C₆ = SD₁₆xC₁₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	144		(C2xC24).26C6	288,183
(C₂xC₂₄).₂₇C₆ = C₃²xC₄.Q₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	288		(C2xC24).27C6	288,324
(C₂xC₂₄).₂₈C₆ = C₉xC₈:C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	288		(C2xC24).28C6	288,47
(C₂xC₂₄).₂₉C₆ = C₉xM₅(2)	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	144	2	(C2xC24).29C6	288,60
(C₂xC₂₄).₃₀C₆ = M₄(2)xC₁₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	144		(C2xC24).30C6	288,180
(C₂xC₂₄).₃₁C₆ = C₉xC₈oD₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	144	2	(C2xC24).31C6	288,181
(C₂xC₂₄).₃₂C₆ = C₃²xC₈:C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	288		(C2xC24).32C6	288,315
(C₂xC₂₄).₃₃C₆ = C₃²xM₅(2)	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₂₄	144		(C2xC24).33C6	288,328

Extensions 1→N→G→Q→1 with N=C2xC24 and Q=C6

Extensions 1→N→G→Q→1 with N=C₂xC₂₄ and Q=C₆