Extensions 1→N→G→Q→1 with N=C₄×C₂₄ and Q=C₂

Direct product G=N×Q with N=C₄×C₂₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×C₂₄		192		C2xC4xC24	192,835

Semidirect products G=N:Q with N=C₄×C₂₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₂₄)⋊₁C₂ = C₄.₁₇D₂₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):1C2	192,18
(C₄×C₂₄)⋊₂C₂ = C₃×D₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):2C2	192,131
(C₄×C₂₄)⋊₃C₂ = C₄².₂₈₂D₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):3C2	192,244
(C₄×C₂₄)⋊₄C₂ = C₄².₂₄₃D₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):4C2	192,249
(C₄×C₂₄)⋊₅C₂ = C₄.₅D₂₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):5C2	192,253
(C₄×C₂₄)⋊₆C₂ = C₄².₂₆₄D₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):6C2	192,256
(C₄×C₂₄)⋊₇C₂ = C₃×C₄².₁₂C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):7C2	192,864
(C₄×C₂₄)⋊₈C₂ = C₃×C₄².₇C₂²	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):8C2	192,866
(C₄×C₂₄)⋊₉C₂ = D₄×C₂₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):9C2	192,867
(C₄×C₂₄)⋊₁₀C₂ = C₃×C₄.₄D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):10C2	192,919
(C₄×C₂₄)⋊₁₁C₂ = C₃×C₄².₇₈C₂²	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):11C2	192,921
(C₄×C₂₄)⋊₁₂C₂ = C₄×D₂₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):12C2	192,251
(C₄×C₂₄)⋊₁₃C₂ = C₁₂⋊₄D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):13C2	192,254
(C₄×C₂₄)⋊₁₄C₂ = C₈.₈D₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):14C2	192,255
(C₄×C₂₄)⋊₁₅C₂ = D₂₄⋊₁₁C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	48	2	(C4xC24):15C2	192,259
(C₄×C₂₄)⋊₁₆C₂ = C₄×C₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):16C2	192,250
(C₄×C₂₄)⋊₁₇C₂ = C₈⋊₅D₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):17C2	192,252
(C₄×C₂₄)⋊₁₈C₂ = C₁₂×D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):18C2	192,870
(C₄×C₂₄)⋊₁₉C₂ = C₃×C₈⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):19C2	192,926
(C₄×C₂₄)⋊₂₀C₂ = C₃×C₈.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):20C2	192,928
(C₄×C₂₄)⋊₂₁C₂ = C₃×C₈○D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	48	2	(C4xC24):21C2	192,876
(C₄×C₂₄)⋊₂₂C₂ = S₃×C₄×C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):22C2	192,243
(C₄×C₂₄)⋊₂₃C₂ = C₈×D₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):23C2	192,245
(C₄×C₂₄)⋊₂₄C₂ = C₄×C₈⋊S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):24C2	192,246
(C₄×C₂₄)⋊₂₅C₂ = C₈⋊₆D₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):25C2	192,247
(C₄×C₂₄)⋊₂₆C₂ = D₆.C₄²	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):26C2	192,248
(C₄×C₂₄)⋊₂₇C₂ = C₁₂×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):27C2	192,871
(C₄×C₂₄)⋊₂₈C₂ = C₃×C₈⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):28C2	192,925
(C₄×C₂₄)⋊₂₉C₂ = C₁₂×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):29C2	192,837
(C₄×C₂₄)⋊₃₀C₂ = C₃×C₈○₂M₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):30C2	192,838
(C₄×C₂₄)⋊₃₁C₂ = C₃×C₈⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	96		(C4xC24):31C2	192,869

Non-split extensions G=N.Q with N=C₄×C₂₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₂₄).₁C₂ = C₄².₂₇₉D₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).1C2	192,13
(C₄×C₂₄).₂C₂ = C₄.₈Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).2C2	192,15
(C₄×C₂₄).₃C₂ = C₃×Q₈⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).3C2	192,132
(C₄×C₂₄).₄C₂ = C₃×C₄⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).4C2	192,169
(C₄×C₂₄).₅C₂ = C₁₂.₁₄Q₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).5C2	192,240
(C₄×C₂₄).₆C₂ = Q₈×C₂₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).6C2	192,878
(C₄×C₂₄).₇C₂ = C₃×C₄.SD₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).7C2	192,920
(C₄×C₂₄).₈C₂ = C₂₄⋊₁C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).8C2	192,17
(C₄×C₂₄).₉C₂ = C₂₄⋊₈Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).9C2	192,241
(C₄×C₂₄).₁₀C₂ = C₄×Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).10C2	192,257
(C₄×C₂₄).₁₁C₂ = C₁₂⋊₄Q₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).11C2	192,258
(C₄×C₂₄).₁₂C₂ = C₂₄.₁₃Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).12C2	192,242
(C₄×C₂₄).₁₃C₂ = C₂₄.₁C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	48	2	(C4xC24).13C2	192,22
(C₄×C₂₄).₁₄C₂ = C₂₄⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).14C2	192,16
(C₄×C₂₄).₁₅C₂ = C₂₄⋊₉Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).15C2	192,239
(C₄×C₂₄).₁₆C₂ = C₃×C₈⋊₁C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).16C2	192,141
(C₄×C₂₄).₁₇C₂ = C₁₂×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).17C2	192,872
(C₄×C₂₄).₁₈C₂ = C₃×C₄⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).18C2	192,927
(C₄×C₂₄).₁₉C₂ = C₃×C₈⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).19C2	192,933
(C₄×C₂₄).₂₀C₂ = C₃×C₈.₅Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).20C2	192,932
(C₄×C₂₄).₂₁C₂ = C₃×C₈.C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	48	2	(C4xC24).21C2	192,170
(C₄×C₂₄).₂₂C₂ = C₈×C₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).22C2	192,12
(C₄×C₂₄).₂₃C₂ = C₂₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).23C2	192,14
(C₄×C₂₄).₂₄C₂ = C₄×C₃⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).24C2	192,19
(C₄×C₂₄).₂₅C₂ = C₂₄.C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).25C2	192,20
(C₄×C₂₄).₂₆C₂ = C₁₂⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).26C2	192,21
(C₄×C₂₄).₂₇C₂ = C₈×Dic₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).27C2	192,237
(C₄×C₂₄).₂₈C₂ = C₂₄⋊₁₂Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).28C2	192,238
(C₄×C₂₄).₂₉C₂ = C₃×C₈⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).29C2	192,140
(C₄×C₂₄).₃₀C₂ = C₃×C₈⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).30C2	192,931
(C₄×C₂₄).₃₁C₂ = C₃×C₈⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).31C2	192,128
(C₄×C₂₄).₃₂C₂ = C₃×C₁₆⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).32C2	192,152
(C₄×C₂₄).₃₃C₂ = C₃×C₈⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₄	192		(C4xC24).33C2	192,879

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Extensions 1→N→G→Q→1 with N=C4×C24 and Q=C2

Extensions 1→N→G→Q→1 with N=C₄×C₂₄ and Q=C₂