Extensions 1→N→G→Q→1 with N=C₁₂₂ and Q=C₄

Direct product G=N×Q with N=C₁₂₂ and Q=C₄

		d	ρ	Label	ID
C₂×C₂₄₄		488		C2xC244	488,9

Semidirect products G=N:Q with N=C₁₂₂ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂₂⋊C₄ = C₂×C₆₁⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₁₂₂	122	4+	C122:C4	488,12
C₁₂₂⋊₂C₄ = C₂×Dic₆₁	φ: C₄/C₂ → C₂ ⊆ Aut C₁₂₂	488		C122:2C4	488,7

Non-split extensions G=N.Q with N=C₁₂₂ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂₂.C₄ = C₆₁⋊C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₁₂₂	488	4-	C122.C4	488,3
C₁₂₂.₂C₄ = C₆₁⋊₂C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₁₂₂	488	2	C122.2C4	488,1

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Extensions 1→N→G→Q→1 with N=C122 and Q=C4