Extensions 1→N→G→Q→1 with N=C₂₄₈ and Q=C₂

Direct product G=NxQ with N=C₂₄₈ and Q=C₂

		d	ρ	Label	ID
C₂xC₂₄₈		496		C2xC248	496,22

Semidirect products G=N:Q with N=C₂₄₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄₈:₁C₂ = D₂₄₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₈	248	2+	C248:1C2	496,6
C₂₄₈:₂C₂ = C₂₄₈:C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₈	248	2	C248:2C2	496,5
C₂₄₈:₃C₂ = C₈xD₃₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₈	248	2	C248:3C2	496,3
C₂₄₈:₄C₂ = C₈:D₃₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₈	248	2	C248:4C2	496,4
C₂₄₈:₅C₂ = D₈xC₃₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₈	248	2	C248:5C2	496,24
C₂₄₈:₆C₂ = SD₁₆xC₃₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₈	248	2	C248:6C2	496,25
C₂₄₈:₇C₂ = M₄(2)xC₃₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₈	248	2	C248:7C2	496,23

Non-split extensions G=N.Q with N=C₂₄₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄₈.₁C₂ = Dic₁₂₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₈	496	2-	C248.1C2	496,7
C₂₄₈.₂C₂ = C₃₁:C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₈	496	2	C248.2C2	496,1
C₂₄₈.₃C₂ = Q₁₆xC₃₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₈	496	2	C248.3C2	496,26

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