Extensions 1→N→G→Q→1 with N=C₄ and Q=C₁₂₄

Direct product G=N×Q with N=C₄ and Q=C₁₂₄

		d	ρ	Label	ID
C₄×C₁₂₄		496		C4xC124	496,19

Semidirect products G=N:Q with N=C₄ and Q=C₁₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊C₁₂₄ = C₄⋊C₄×C₃₁	φ: C₁₂₄/C₆₂ → C₂ ⊆ Aut C₄	496		C4:C124	496,21

Non-split extensions G=N.Q with N=C₄ and Q=C₁₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.C₁₂₄ = M₄(2)×C₃₁	φ: C₁₂₄/C₆₂ → C₂ ⊆ Aut C₄	248	2	C4.C124	496,23

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Extensions 1→N→G→Q→1 with N=C4 and Q=C124