Extensions 1→N→G→Q→1 with N=C₂⁵ and Q=C₄

Direct product G=N×Q with N=C₂⁵ and Q=C₄

		d	ρ	Label	ID
C₂⁵×C₄		128		C2^5xC4	128,2319

Semidirect products G=N:Q with N=C₂⁵ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁵⋊₁C₄ = C₂⁵⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂⁵	16		C2^5:1C4	128,513
C₂⁵⋊₂C₄ = C₂×C₂≀C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂⁵	16		C2^5:2C4	128,850
C₂⁵⋊₃C₄ = C₂²×C₂³⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂⁵	32		C2^5:3C4	128,1613
C₂⁵⋊₄C₄ = C₂×C₂⁴⋊₃C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂⁵	32		C2^5:4C4	128,1009
C₂⁵⋊₅C₄ = C₂³×C₂²⋊C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂⁵	64		C2^5:5C4	128,2151

Non-split extensions G=N.Q with N=C₂⁵ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁵.₁C₄ = C₂⁴⋊C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂⁵	16		C2^5.1C4	128,48
C₂⁵.₂C₄ = C₂×C₂³⋊C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂⁵	32		C2^5.2C4	128,188
C₂⁵.₃C₄ = C₂⁵.₃C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂⁵	16		C2^5.3C4	128,194
C₂⁵.₄C₄ = C₂⁵.C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂⁵	16		C2^5.4C4	128,515
C₂⁵.₅C₄ = C₂²×C₄.D₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂⁵	32		C2^5.5C4	128,1617
C₂⁵.₆C₄ = C₂⁴⋊₃C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂⁵	32		C2^5.6C4	128,511
C₂⁵.₇C₄ = C₂²×C₂²⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂⁵	64		C2^5.7C4	128,1608
C₂⁵.₈C₄ = C₂×C₂⁴.₄C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂⁵	32		C2^5.8C4	128,1609
C₂⁵.₉C₄ = C₂³×M₄(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₂⁵	64		C2^5.9C4	128,2302

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