Extensions 1→N→G→Q→1 with N=C₂² and Q=D₄×C₁₃

Direct product G=N×Q with N=C₂² and Q=D₄×C₁₃

		d	ρ	Label	ID
D₄×C₂×C₂₆		208		D4xC2xC26	416,228

Semidirect products G=N:Q with N=C₂² and Q=D₄×C₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(D₄×C₁₃) = C₁₃×C₄⋊D₄	φ: D₄×C₁₃/C₅₂ → C₂ ⊆ Aut C₂²	208		C2^2:1(D4xC13)	416,182
C₂²⋊₂(D₄×C₁₃) = C₁₃×C₂²≀C₂	φ: D₄×C₁₃/C₂×C₂₆ → C₂ ⊆ Aut C₂²	104		C2^2:2(D4xC13)	416,181

Non-split extensions G=N.Q with N=C₂² and Q=D₄×C₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(D₄×C₁₃) = C₁₃×C₄○D₈	φ: D₄×C₁₃/C₅₂ → C₂ ⊆ Aut C₂²	208	2	C2^2.1(D4xC13)	416,196
C₂².₂(D₄×C₁₃) = C₁₃×C₂³⋊C₄	φ: D₄×C₁₃/C₂×C₂₆ → C₂ ⊆ Aut C₂²	104	4	C2^2.2(D4xC13)	416,49
C₂².₃(D₄×C₁₃) = C₁₃×C₄≀C₂	φ: D₄×C₁₃/C₂×C₂₆ → C₂ ⊆ Aut C₂²	104	2	C2^2.3(D4xC13)	416,54
C₂².₄(D₄×C₁₃) = C₁₃×C₂².D₄	φ: D₄×C₁₃/C₂×C₂₆ → C₂ ⊆ Aut C₂²	208		C2^2.4(D4xC13)	416,184
C₂².₅(D₄×C₁₃) = C₁₃×C₈⋊C₂²	φ: D₄×C₁₃/C₂×C₂₆ → C₂ ⊆ Aut C₂²	104	4	C2^2.5(D4xC13)	416,197
C₂².₆(D₄×C₁₃) = C₁₃×C₈.C₂²	φ: D₄×C₁₃/C₂×C₂₆ → C₂ ⊆ Aut C₂²	208	4	C2^2.6(D4xC13)	416,198
C₂².₇(D₄×C₁₃) = C₁₃×C₂.C₄²	central extension (φ=1)	416		C2^2.7(D4xC13)	416,45
C₂².₈(D₄×C₁₃) = C₁₃×D₄⋊C₄	central extension (φ=1)	208		C2^2.8(D4xC13)	416,52
C₂².₉(D₄×C₁₃) = C₁₃×Q₈⋊C₄	central extension (φ=1)	416		C2^2.9(D4xC13)	416,53
C₂².₁₀(D₄×C₁₃) = C₁₃×C₄.Q₈	central extension (φ=1)	416		C2^2.10(D4xC13)	416,56
C₂².₁₁(D₄×C₁₃) = C₁₃×C₂.D₈	central extension (φ=1)	416		C2^2.11(D4xC13)	416,57
C₂².₁₂(D₄×C₁₃) = C₂²⋊C₄×C₂₆	central extension (φ=1)	208		C2^2.12(D4xC13)	416,176
C₂².₁₃(D₄×C₁₃) = C₄⋊C₄×C₂₆	central extension (φ=1)	416		C2^2.13(D4xC13)	416,177
C₂².₁₄(D₄×C₁₃) = D₈×C₂₆	central extension (φ=1)	208		C2^2.14(D4xC13)	416,193
C₂².₁₅(D₄×C₁₃) = SD₁₆×C₂₆	central extension (φ=1)	208		C2^2.15(D4xC13)	416,194
C₂².₁₆(D₄×C₁₃) = Q₁₆×C₂₆	central extension (φ=1)	416		C2^2.16(D4xC13)	416,195

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