Extensions 1→N→G→Q→1 with N=C₁₂₄ and Q=C₂

Direct product G=N×Q with N=C₁₂₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₂₄		248		C2xC124	248,8

Semidirect products G=N:Q with N=C₁₂₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂₄⋊₁C₂ = D₁₂₄	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₄	124	2+	C124:1C2	248,5
C₁₂₄⋊₂C₂ = C₄×D₃₁	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₄	124	2	C124:2C2	248,4
C₁₂₄⋊₃C₂ = D₄×C₃₁	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₄	124	2	C124:3C2	248,9

Non-split extensions G=N.Q with N=C₁₂₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂₄.₁C₂ = Dic₆₂	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₄	248	2-	C124.1C2	248,3
C₁₂₄.₂C₂ = C₃₁⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₄	248	2	C124.2C2	248,1
C₁₂₄.₃C₂ = Q₈×C₃₁	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₄	248	2	C124.3C2	248,10

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Extensions 1→N→G→Q→1 with N=C124 and Q=C2