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

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

		d	ρ	Label	ID
C₂xC₆xC₂₄		288		C2xC6xC24	288,826

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:₁(C₂xC₂₄) = S₃xC₂xC₂₄	φ: C₂xC₂₄/C₂₄ → C₂ ⊆ Aut C₆	96		C6:1(C2xC24)	288,670
C₆:₂(C₂xC₂₄) = C₂xC₆xC₃:C₈	φ: C₂xC₂₄/C₂xC₁₂ → C₂ ⊆ Aut C₆	96		C6:2(C2xC24)	288,691

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₂xC₂₄) = S₃xC₄₈	φ: C₂xC₂₄/C₂₄ → C₂ ⊆ Aut C₆	96	2	C6.1(C2xC24)	288,231
C₆.₂(C₂xC₂₄) = C₃xD₆.C₈	φ: C₂xC₂₄/C₂₄ → C₂ ⊆ Aut C₆	96	2	C6.2(C2xC24)	288,232
C₆.₃(C₂xC₂₄) = Dic₃xC₂₄	φ: C₂xC₂₄/C₂₄ → C₂ ⊆ Aut C₆	96		C6.3(C2xC24)	288,247
C₆.₄(C₂xC₂₄) = C₃xDic₃:C₈	φ: C₂xC₂₄/C₂₄ → C₂ ⊆ Aut C₆	96		C6.4(C2xC24)	288,248
C₆.₅(C₂xC₂₄) = C₃xD₆:C₈	φ: C₂xC₂₄/C₂₄ → C₂ ⊆ Aut C₆	96		C6.5(C2xC24)	288,254
C₆.₆(C₂xC₂₄) = C₁₂xC₃:C₈	φ: C₂xC₂₄/C₂xC₁₂ → C₂ ⊆ Aut C₆	96		C6.6(C2xC24)	288,236
C₆.₇(C₂xC₂₄) = C₃xC₁₂:C₈	φ: C₂xC₂₄/C₂xC₁₂ → C₂ ⊆ Aut C₆	96		C6.7(C2xC24)	288,238
C₆.₈(C₂xC₂₄) = C₆xC₃:C₁₆	φ: C₂xC₂₄/C₂xC₁₂ → C₂ ⊆ Aut C₆	96		C6.8(C2xC24)	288,245
C₆.₉(C₂xC₂₄) = C₃xC₁₂.C₈	φ: C₂xC₂₄/C₂xC₁₂ → C₂ ⊆ Aut C₆	48	2	C6.9(C2xC24)	288,246
C₆.₁₀(C₂xC₂₄) = C₃xC₁₂.₅₅D₄	φ: C₂xC₂₄/C₂xC₁₂ → C₂ ⊆ Aut C₆	48		C6.10(C2xC24)	288,264
C₆.₁₁(C₂xC₂₄) = C₉xC₂²:C₈	central extension (φ=1)	144		C6.11(C2xC24)	288,48
C₆.₁₂(C₂xC₂₄) = C₉xC₄:C₈	central extension (φ=1)	288		C6.12(C2xC24)	288,55
C₆.₁₃(C₂xC₂₄) = C₉xM₅(2)	central extension (φ=1)	144	2	C6.13(C2xC24)	288,60
C₆.₁₄(C₂xC₂₄) = C₃²xC₂²:C₈	central extension (φ=1)	144		C6.14(C2xC24)	288,316
C₆.₁₅(C₂xC₂₄) = C₃²xC₄:C₈	central extension (φ=1)	288		C6.15(C2xC24)	288,323
C₆.₁₆(C₂xC₂₄) = C₃²xM₅(2)	central extension (φ=1)	144		C6.16(C2xC24)	288,328

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