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

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

		d	ρ	Label	ID
C₂×C₂₄		48		C2xC24	48,23

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄⋊₁C₂ = D₂₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄	24	2+	C24:1C2	48,7
C₂₄⋊₂C₂ = C₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄	24	2	C24:2C2	48,6
C₂₄⋊₃C₂ = C₃×D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄	24	2	C24:3C2	48,25
C₂₄⋊₄C₂ = S₃×C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄	24	2	C24:4C2	48,4
C₂₄⋊₅C₂ = C₈⋊S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄	24	2	C24:5C2	48,5
C₂₄⋊₆C₂ = C₃×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄	24	2	C24:6C2	48,26
C₂₄⋊₇C₂ = C₃×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄	24	2	C24:7C2	48,24

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄.₁C₂ = Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄	48	2-	C24.1C2	48,8
C₂₄.₂C₂ = C₃×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄	48	2	C24.2C2	48,27
C₂₄.₃C₂ = C₃⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄	48	2	C24.3C2	48,1

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