Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂²×C₂₆

Direct product G=N×Q with N=C₂² and Q=C₂²×C₂₆

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

Semidirect products G=N:Q with N=C₂² and Q=C₂²×C₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₂²×C₂₆) = D₄×C₂×C₂₆	φ: C₂²×C₂₆/C₂×C₂₆ → C₂ ⊆ Aut C₂²	208		C2^2:(C2^2xC26)	416,228

Non-split extensions G=N.Q with N=C₂² and Q=C₂²×C₂₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂²×C₂₆) = C₄○D₄×C₂₆	φ: C₂²×C₂₆/C₂×C₂₆ → C₂ ⊆ Aut C₂²	208		C2^2.1(C2^2xC26)	416,230
C₂².₂(C₂²×C₂₆) = C₁₃×2₊¹⁺⁴	φ: C₂²×C₂₆/C₂×C₂₆ → C₂ ⊆ Aut C₂²	104	4	C2^2.2(C2^2xC26)	416,231
C₂².₃(C₂²×C₂₆) = C₁₃×2_-¹⁺⁴	φ: C₂²×C₂₆/C₂×C₂₆ → C₂ ⊆ Aut C₂²	208	4	C2^2.3(C2^2xC26)	416,232
C₂².₄(C₂²×C₂₆) = C₂²⋊C₄×C₂₆	central extension (φ=1)	208		C2^2.4(C2^2xC26)	416,176
C₂².₅(C₂²×C₂₆) = C₄⋊C₄×C₂₆	central extension (φ=1)	416		C2^2.5(C2^2xC26)	416,177
C₂².₆(C₂²×C₂₆) = C₁₃×C₄²⋊C₂	central extension (φ=1)	208		C2^2.6(C2^2xC26)	416,178
C₂².₇(C₂²×C₂₆) = D₄×C₅₂	central extension (φ=1)	208		C2^2.7(C2^2xC26)	416,179
C₂².₈(C₂²×C₂₆) = Q₈×C₅₂	central extension (φ=1)	416		C2^2.8(C2^2xC26)	416,180
C₂².₉(C₂²×C₂₆) = Q₈×C₂×C₂₆	central extension (φ=1)	416		C2^2.9(C2^2xC26)	416,229
C₂².₁₀(C₂²×C₂₆) = C₁₃×C₂²≀C₂	central stem extension (φ=1)	104		C2^2.10(C2^2xC26)	416,181
C₂².₁₁(C₂²×C₂₆) = C₁₃×C₄⋊D₄	central stem extension (φ=1)	208		C2^2.11(C2^2xC26)	416,182
C₂².₁₂(C₂²×C₂₆) = C₁₃×C₂²⋊Q₈	central stem extension (φ=1)	208		C2^2.12(C2^2xC26)	416,183
C₂².₁₃(C₂²×C₂₆) = C₁₃×C₂².D₄	central stem extension (φ=1)	208		C2^2.13(C2^2xC26)	416,184
C₂².₁₄(C₂²×C₂₆) = C₁₃×C₄.₄D₄	central stem extension (φ=1)	208		C2^2.14(C2^2xC26)	416,185
C₂².₁₅(C₂²×C₂₆) = C₁₃×C₄².C₂	central stem extension (φ=1)	416		C2^2.15(C2^2xC26)	416,186
C₂².₁₆(C₂²×C₂₆) = C₁₃×C₄²⋊₂C₂	central stem extension (φ=1)	208		C2^2.16(C2^2xC26)	416,187
C₂².₁₇(C₂²×C₂₆) = C₁₃×C₄⋊₁D₄	central stem extension (φ=1)	208		C2^2.17(C2^2xC26)	416,188
C₂².₁₈(C₂²×C₂₆) = C₁₃×C₄⋊Q₈	central stem extension (φ=1)	416		C2^2.18(C2^2xC26)	416,189

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