Extensions 1→N→G→Q→1 with N=C₂ and Q=C₄²⋊₅C₄

Direct product G=N×Q with N=C₂ and Q=C₄²⋊₅C₄

		d	ρ	Label	ID
C₂×C₄²⋊₅C₄		128		C2xC4^2:5C4	128,1014

Non-split extensions G=N.Q with N=C₂ and Q=C₄²⋊₅C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₄²⋊₅C₄) = C₂⁴.₆₂₄C₂³	central extension (φ=1)	128		C2.1(C4^2:5C4)	128,166
C₂.₂(C₄²⋊₅C₄) = C₄²⋊₅C₈	central extension (φ=1)	128		C2.2(C4^2:5C4)	128,571
C₂.₃(C₄²⋊₅C₄) = C₂⁴.₆₃₃C₂³	central stem extension (φ=1)	128		C2.3(C4^2:5C4)	128,175
C₂.₄(C₄²⋊₅C₄) = C₄²⋊₄C₄.C₂	central stem extension (φ=1)	128		C2.4(C4^2:5C4)	128,572
C₂.₅(C₄²⋊₅C₄) = C₈⋊C₄⋊₁₇C₄	central stem extension (φ=1)	16	4	C2.5(C4^2:5C4)	128,573

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