Extensions 1→N→G→Q→1 with N=C₂₄ and Q=C₆

Direct product G=NxQ with N=C₂₄ and Q=C₆

		d	ρ	Label	ID
C₆xC₂₄		144		C6xC24	144,104

Semidirect products G=N:Q with N=C₂₄ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄:₁C₆ = C₃xD₂₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂₄	48	2	C24:1C6	144,72
C₂₄:₂C₆ = C₃xC₂₄:C₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂₄	48	2	C24:2C6	144,71
C₂₄:₃C₆ = C₃²xD₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂₄	72		C24:3C6	144,106
C₂₄:₄C₆ = S₃xC₂₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂₄	48	2	C24:4C6	144,69
C₂₄:₅C₆ = C₃xC₈:S₃	φ: C₆/C₃ → C₂ ⊆ Aut C₂₄	48	2	C24:5C6	144,70
C₂₄:₆C₆ = C₃²xSD₁₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂₄	72		C24:6C6	144,107
C₂₄:₇C₆ = C₃²xM₄(2)	φ: C₆/C₃ → C₂ ⊆ Aut C₂₄	72		C24:7C6	144,105

Non-split extensions G=N.Q with N=C₂₄ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄.₁C₆ = C₃xDic₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂₄	48	2	C24.1C6	144,73
C₂₄.₂C₆ = C₉xD₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂₄	72	2	C24.2C6	144,25
C₂₄.₃C₆ = C₉xQ₁₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂₄	144	2	C24.3C6	144,27
C₂₄.₄C₆ = C₃²xQ₁₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂₄	144		C24.4C6	144,108
C₂₄.₅C₆ = C₃xC₃:C₁₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂₄	48	2	C24.5C6	144,28
C₂₄.₆C₆ = C₉xSD₁₆	φ: C₆/C₃ → C₂ ⊆ Aut C₂₄	72	2	C24.6C6	144,26
C₂₄.₇C₆ = C₉xM₄(2)	φ: C₆/C₃ → C₂ ⊆ Aut C₂₄	72	2	C24.7C6	144,24

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