Extensions 1→N→G→Q→1 with N=C₂ and Q=C₁₃×C₂²⋊C₄

Direct product G=N×Q with N=C₂ and Q=C₁₃×C₂²⋊C₄

		d	ρ	Label	ID
C₂²⋊C₄×C₂₆		208		C2^2:C4xC26	416,176

Non-split extensions G=N.Q with N=C₂ and Q=C₁₃×C₂²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₁₃×C₂²⋊C₄) = C₁₃×C₂.C₄²	central extension (φ=1)	416		C2.1(C13xC2^2:C4)	416,45
C₂.₂(C₁₃×C₂²⋊C₄) = C₁₃×C₂²⋊C₈	central extension (φ=1)	208		C2.2(C13xC2^2:C4)	416,48
C₂.₃(C₁₃×C₂²⋊C₄) = C₁₃×C₂³⋊C₄	central stem extension (φ=1)	104	4	C2.3(C13xC2^2:C4)	416,49
C₂.₄(C₁₃×C₂²⋊C₄) = C₁₃×C₄.D₄	central stem extension (φ=1)	104	4	C2.4(C13xC2^2:C4)	416,50
C₂.₅(C₁₃×C₂²⋊C₄) = C₁₃×C₄.₁₀D₄	central stem extension (φ=1)	208	4	C2.5(C13xC2^2:C4)	416,51
C₂.₆(C₁₃×C₂²⋊C₄) = C₁₃×D₄⋊C₄	central stem extension (φ=1)	208		C2.6(C13xC2^2:C4)	416,52
C₂.₇(C₁₃×C₂²⋊C₄) = C₁₃×Q₈⋊C₄	central stem extension (φ=1)	416		C2.7(C13xC2^2:C4)	416,53
C₂.₈(C₁₃×C₂²⋊C₄) = C₁₃×C₄≀C₂	central stem extension (φ=1)	104	2	C2.8(C13xC2^2:C4)	416,54

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁