Extensions 1→N→G→Q→1 with N=C₂ and Q=D₅₂⋊C₂

Direct product G=N×Q with N=C₂ and Q=D₅₂⋊C₂

		d	ρ	Label	ID
C₂×D₅₂⋊C₂		208		C2xD52:C2	416,220

Non-split extensions G=N.Q with N=C₂ and Q=D₅₂⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(D₅₂⋊C₂) = C₄⋊C₄⋊₇D₁₃	central extension (φ=1)	208		C2.1(D52:C2)	416,113
C₂.₂(D₅₂⋊C₂) = D₅₂⋊₈C₄	central extension (φ=1)	208		C2.2(D52:C2)	416,114
C₂.₃(D₅₂⋊C₂) = Q₈×Dic₁₃	central extension (φ=1)	416		C2.3(D52:C2)	416,166
C₂.₄(D₅₂⋊C₂) = C₄.Dic₂₆	central stem extension (φ=1)	416		C2.4(D52:C2)	416,111
C₂.₅(D₅₂⋊C₂) = D₂₆.₁₃D₄	central stem extension (φ=1)	208		C2.5(D52:C2)	416,115
C₂.₆(D₅₂⋊C₂) = C₄⋊₂D₅₂	central stem extension (φ=1)	208		C2.6(D52:C2)	416,116
C₂.₇(D₅₂⋊C₂) = C₄⋊C₄⋊D₁₃	central stem extension (φ=1)	208		C2.7(D52:C2)	416,119
C₂.₈(D₅₂⋊C₂) = D₂₆⋊₃Q₈	central stem extension (φ=1)	208		C2.8(D52:C2)	416,167
C₂.₉(D₅₂⋊C₂) = C₅₂.₂₃D₄	central stem extension (φ=1)	208		C2.9(D52:C2)	416,168

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁