Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂⁴

Direct product G=N×Q with N=C₄ and Q=C₂⁴

		d	ρ	Label	ID
C₂⁴×C₄		64		C2^4xC4	64,260

Semidirect products G=N:Q with N=C₄ and Q=C₂⁴

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊C₂⁴ = D₄×C₂³	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₄	32		C4:C2^4	64,261

Non-split extensions G=N.Q with N=C₄ and Q=C₂⁴

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁C₂⁴ = C₂²×D₈	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₄	32		C4.1C2^4	64,250
C₄.₂C₂⁴ = C₂²×SD₁₆	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₄	32		C4.2C2^4	64,251
C₄.₃C₂⁴ = C₂²×Q₁₆	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₄	64		C4.3C2^4	64,252
C₄.₄C₂⁴ = C₂×C₄○D₈	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₄	32		C4.4C2^4	64,253
C₄.₅C₂⁴ = C₂×C₈⋊C₂²	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₄	16		C4.5C2^4	64,254
C₄.₆C₂⁴ = C₂×C₈.C₂²	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₄	32		C4.6C2^4	64,255
C₄.₇C₂⁴ = D₈⋊C₂²	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₄	16	4	C4.7C2^4	64,256
C₄.₈C₂⁴ = D₄○D₈	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₄	16	4+	C4.8C2^4	64,257
C₄.₉C₂⁴ = D₄○SD₁₆	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₄	16	4	C4.9C2^4	64,258
C₄.₁₀C₂⁴ = Q₈○D₈	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₄	32	4-	C4.10C2^4	64,259
C₄.₁₁C₂⁴ = Q₈×C₂³	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₄	64		C4.11C2^4	64,262
C₄.₁₂C₂⁴ = C₂×2₊¹⁺⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₄	16		C4.12C2^4	64,264
C₄.₁₃C₂⁴ = C₂×2_-¹⁺⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₄	32		C4.13C2^4	64,265
C₄.₁₄C₂⁴ = C₂.C₂⁵	φ: C₂⁴/C₂³ → C₂ ⊆ Aut C₄	16	4	C4.14C2^4	64,266
C₄.₁₅C₂⁴ = C₂²×M₄(2)	central extension (φ=1)	32		C4.15C2^4	64,247
C₄.₁₆C₂⁴ = C₂×C₈○D₄	central extension (φ=1)	32		C4.16C2^4	64,248
C₄.₁₇C₂⁴ = Q₈○M₄(2)	central extension (φ=1)	16	4	C4.17C2^4	64,249
C₄.₁₈C₂⁴ = C₂²×C₄○D₄	central extension (φ=1)	32		C4.18C2^4	64,263

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