Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₂×C₂₆

Direct product G=N×Q with N=C₂³ and Q=C₂×C₂₆

		d	ρ	Label	ID
C₂⁴×C₂₆		416		C2^4xC26	416,235

Semidirect products G=N:Q with N=C₂³ and Q=C₂×C₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊₁(C₂×C₂₆) = C₁₃×C₂²≀C₂	φ: C₂×C₂₆/C₁₃ → C₂² ⊆ Aut C₂³	104		C2^3:1(C2xC26)	416,181
C₂³⋊₂(C₂×C₂₆) = C₁₃×2₊¹⁺⁴	φ: C₂×C₂₆/C₁₃ → C₂² ⊆ Aut C₂³	104	4	C2^3:2(C2xC26)	416,231
C₂³⋊₃(C₂×C₂₆) = D₄×C₂×C₂₆	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Aut C₂³	208		C2^3:3(C2xC26)	416,228

Non-split extensions G=N.Q with N=C₂³ and Q=C₂×C₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.₁(C₂×C₂₆) = C₁₃×C₂³⋊C₄	φ: C₂×C₂₆/C₁₃ → C₂² ⊆ Aut C₂³	104	4	C2^3.1(C2xC26)	416,49
C₂³.₂(C₂×C₂₆) = C₁₃×C₄.₄D₄	φ: C₂×C₂₆/C₁₃ → C₂² ⊆ Aut C₂³	208		C2^3.2(C2xC26)	416,185
C₂³.₃(C₂×C₂₆) = C₁₃×C₄²⋊₂C₂	φ: C₂×C₂₆/C₁₃ → C₂² ⊆ Aut C₂³	208		C2^3.3(C2xC26)	416,187
C₂³.₄(C₂×C₂₆) = C₁₃×C₄⋊₁D₄	φ: C₂×C₂₆/C₁₃ → C₂² ⊆ Aut C₂³	208		C2^3.4(C2xC26)	416,188
C₂³.₅(C₂×C₂₆) = C₂²⋊C₄×C₂₆	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Aut C₂³	208		C2^3.5(C2xC26)	416,176
C₂³.₆(C₂×C₂₆) = C₁₃×C₄²⋊C₂	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Aut C₂³	208		C2^3.6(C2xC26)	416,178
C₂³.₇(C₂×C₂₆) = D₄×C₅₂	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Aut C₂³	208		C2^3.7(C2xC26)	416,179
C₂³.₈(C₂×C₂₆) = C₁₃×C₄⋊D₄	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Aut C₂³	208		C2^3.8(C2xC26)	416,182
C₂³.₉(C₂×C₂₆) = C₁₃×C₂²⋊Q₈	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Aut C₂³	208		C2^3.9(C2xC26)	416,183
C₂³.₁₀(C₂×C₂₆) = C₁₃×C₂².D₄	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Aut C₂³	208		C2^3.10(C2xC26)	416,184
C₂³.₁₁(C₂×C₂₆) = C₄○D₄×C₂₆	φ: C₂×C₂₆/C₂₆ → C₂ ⊆ Aut C₂³	208		C2^3.11(C2xC26)	416,230
C₂³.₁₂(C₂×C₂₆) = C₁₃×C₂.C₄²	central extension (φ=1)	416		C2^3.12(C2xC26)	416,45
C₂³.₁₃(C₂×C₂₆) = C₄⋊C₄×C₂₆	central extension (φ=1)	416		C2^3.13(C2xC26)	416,177
C₂³.₁₄(C₂×C₂₆) = Q₈×C₂×C₂₆	central extension (φ=1)	416		C2^3.14(C2xC26)	416,229

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