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

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

		d	ρ	Label	ID
C₂×C₂₄₈		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 = C₈×D₃₁	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 = D₈×C₃₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₈	248	2	C248:5C2	496,24
C₂₄₈⋊₆C₂ = SD₁₆×C₃₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₈	248	2	C248:6C2	496,25
C₂₄₈⋊₇C₂ = M₄(2)×C₃₁	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 = Q₁₆×C₃₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂₄₈	496	2	C248.3C2	496,26

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