Extensions 1→N→G→Q→1 with N=C₂₆ and Q=C₄²

Direct product G=N×Q with N=C₂₆ and Q=C₄²

		d	ρ	Label	ID
C₂×C₄×C₅₂		416		C2xC4xC52	416,175

Semidirect products G=N:Q with N=C₂₆ and Q=C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₆⋊C₄² = C₂×C₄×C₁₃⋊C₄	φ: C₄²/C₄ → C₄ ⊆ Aut C₂₆	104		C26:C4^2	416,202
C₂₆⋊₂C₄² = C₂×C₄×Dic₁₃	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₆	416		C26:2C4^2	416,143

Non-split extensions G=N.Q with N=C₂₆ and Q=C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₆.₁C₄² = C₈×C₁₃⋊C₄	φ: C₄²/C₄ → C₄ ⊆ Aut C₂₆	104	4	C26.1C4^2	416,66
C₂₆.₂C₄² = C₁₀₄⋊C₄	φ: C₄²/C₄ → C₄ ⊆ Aut C₂₆	104	4	C26.2C4^2	416,67
C₂₆.₃C₄² = C₄×C₁₃⋊C₈	φ: C₄²/C₄ → C₄ ⊆ Aut C₂₆	416		C26.3C4^2	416,75
C₂₆.₄C₄² = C₂₆.C₄²	φ: C₄²/C₄ → C₄ ⊆ Aut C₂₆	416		C26.4C4^2	416,77
C₂₆.₅C₄² = D₂₆.Q₈	φ: C₄²/C₄ → C₄ ⊆ Aut C₂₆	104		C26.5C4^2	416,81
C₂₆.₆C₄² = C₄×C₁₃⋊₂C₈	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₆	416		C26.6C4^2	416,9
C₂₆.₇C₄² = C₂₆.₇C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₆	416		C26.7C4^2	416,10
C₂₆.₈C₄² = C₈×Dic₁₃	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₆	416		C26.8C4^2	416,20
C₂₆.₉C₄² = C₁₀₄⋊₈C₄	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₆	416		C26.9C4^2	416,22
C₂₆.₁₀C₄² = C₂₆.₁₀C₄²	φ: C₄²/C₂×C₄ → C₂ ⊆ Aut C₂₆	416		C26.10C4^2	416,38
C₂₆.₁₁C₄² = C₁₃×C₂.C₄²	central extension (φ=1)	416		C26.11C4^2	416,45
C₂₆.₁₂C₄² = C₁₃×C₈⋊C₄	central extension (φ=1)	416		C26.12C4^2	416,47

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁