Extensions 1→N→G→Q→1 with N=C₂² and Q=D₄xC₁₃

Direct product G=NxQ with N=C₂² and Q=D₄xC₁₃

		d	ρ	Label	ID
D₄xC₂xC₂₆		208		D4xC2xC26	416,228

Semidirect products G=N:Q with N=C₂² and Q=D₄xC₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:₁(D₄xC₁₃) = C₁₃xC₄:D₄	φ: D₄xC₁₃/C₅₂ → C₂ ⊆ Aut C₂²	208		C2^2:1(D4xC13)	416,182
C₂²:₂(D₄xC₁₃) = C₁₃xC₂²wrC₂	φ: D₄xC₁₃/C₂xC₂₆ → C₂ ⊆ Aut C₂²	104		C2^2:2(D4xC13)	416,181

Non-split extensions G=N.Q with N=C₂² and Q=D₄xC₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(D₄xC₁₃) = C₁₃xC₄oD₈	φ: D₄xC₁₃/C₅₂ → C₂ ⊆ Aut C₂²	208	2	C2^2.1(D4xC13)	416,196
C₂².₂(D₄xC₁₃) = C₁₃xC₂³:C₄	φ: D₄xC₁₃/C₂xC₂₆ → C₂ ⊆ Aut C₂²	104	4	C2^2.2(D4xC13)	416,49
C₂².₃(D₄xC₁₃) = C₁₃xC₄wrC₂	φ: D₄xC₁₃/C₂xC₂₆ → C₂ ⊆ Aut C₂²	104	2	C2^2.3(D4xC13)	416,54
C₂².₄(D₄xC₁₃) = C₁₃xC₂².D₄	φ: D₄xC₁₃/C₂xC₂₆ → C₂ ⊆ Aut C₂²	208		C2^2.4(D4xC13)	416,184
C₂².₅(D₄xC₁₃) = C₁₃xC₈:C₂²	φ: D₄xC₁₃/C₂xC₂₆ → C₂ ⊆ Aut C₂²	104	4	C2^2.5(D4xC13)	416,197
C₂².₆(D₄xC₁₃) = C₁₃xC₈.C₂²	φ: D₄xC₁₃/C₂xC₂₆ → C₂ ⊆ Aut C₂²	208	4	C2^2.6(D4xC13)	416,198
C₂².₇(D₄xC₁₃) = C₁₃xC₂.C₄²	central extension (φ=1)	416		C2^2.7(D4xC13)	416,45
C₂².₈(D₄xC₁₃) = C₁₃xD₄:C₄	central extension (φ=1)	208		C2^2.8(D4xC13)	416,52
C₂².₉(D₄xC₁₃) = C₁₃xQ₈:C₄	central extension (φ=1)	416		C2^2.9(D4xC13)	416,53
C₂².₁₀(D₄xC₁₃) = C₁₃xC₄.Q₈	central extension (φ=1)	416		C2^2.10(D4xC13)	416,56
C₂².₁₁(D₄xC₁₃) = C₁₃xC₂.D₈	central extension (φ=1)	416		C2^2.11(D4xC13)	416,57
C₂².₁₂(D₄xC₁₃) = C₂²:C₄xC₂₆	central extension (φ=1)	208		C2^2.12(D4xC13)	416,176
C₂².₁₃(D₄xC₁₃) = C₄:C₄xC₂₆	central extension (φ=1)	416		C2^2.13(D4xC13)	416,177
C₂².₁₄(D₄xC₁₃) = D₈xC₂₆	central extension (φ=1)	208		C2^2.14(D4xC13)	416,193
C₂².₁₅(D₄xC₁₃) = SD₁₆xC₂₆	central extension (φ=1)	208		C2^2.15(D4xC13)	416,194
C₂².₁₆(D₄xC₁₃) = Q₁₆xC₂₆	central extension (φ=1)	416		C2^2.16(D4xC13)	416,195

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