Extensions 1→N→G→Q→1 with N=C₂⁴ and Q=C₂₈

Direct product G=N×Q with N=C₂⁴ and Q=C₂₈

		d	ρ	Label	ID
C₂⁴×C₂₈		448		C2^4xC28	448,1385

Semidirect products G=N:Q with N=C₂⁴ and Q=C₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴⋊C₂₈ = C₂×C₄×F₈	φ: C₂₈/C₄ → C₇ ⊆ Aut C₂⁴	56		C2^4:C28	448,1362
C₂⁴⋊₂C₂₈ = C₇×C₂≀C₄	φ: C₂₈/C₇ → C₄ ⊆ Aut C₂⁴	56	4	C2^4:2C28	448,155
C₂⁴⋊₃C₂₈ = C₁₄×C₂³⋊C₄	φ: C₂₈/C₇ → C₄ ⊆ Aut C₂⁴	112		C2^4:3C28	448,817
C₂⁴⋊₄C₂₈ = C₇×C₂⁴⋊₃C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂⁴	112		C2^4:4C28	448,787
C₂⁴⋊₅C₂₈ = C₂²⋊C₄×C₂×C₁₄	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂⁴	224		C2^4:5C28	448,1295

Non-split extensions G=N.Q with N=C₂⁴ and Q=C₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴.C₂₈ = C₈×F₈	φ: C₂₈/C₄ → C₇ ⊆ Aut C₂⁴	56	7	C2^4.C28	448,919
C₂⁴.₂C₂₈ = C₇×C₂³⋊C₈	φ: C₂₈/C₇ → C₄ ⊆ Aut C₂⁴	112		C2^4.2C28	448,127
C₂⁴.₃C₂₈ = C₁₄×C₄.D₄	φ: C₂₈/C₇ → C₄ ⊆ Aut C₂⁴	112		C2^4.3C28	448,819
C₂⁴.₄C₂₈ = C₁₄×C₂²⋊C₈	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂⁴	224		C2^4.4C28	448,814
C₂⁴.₅C₂₈ = C₇×C₂⁴.₄C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂⁴	112		C2^4.5C28	448,815
C₂⁴.₆C₂₈ = M₄(2)×C₂×C₁₄	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂⁴	224		C2^4.6C28	448,1349

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