Extensions 1→N→G→Q→1 with N=C₂ and Q=D₄.₁₀D₄

Direct product G=N×Q with N=C₂ and Q=D₄.₁₀D₄

		d	ρ	Label	ID
C₂×D₄.₁₀D₄		32		C2xD4.10D4	128,1749

Non-split extensions G=N.Q with N=C₂ and Q=D₄.₁₀D₄

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(D₄.₁₀D₄) = 2_-¹⁺⁴⋊₂C₄	central extension (φ=1)	32	C2.1(D4.10D4)	128,525
C₂.₂(D₄.₁₀D₄) = C₄.₁₀D₄⋊₂C₄	central extension (φ=1)	32	C2.2(D4.10D4)	128,589
C₂.₃(D₄.₁₀D₄) = C₄≀C₂⋊C₄	central extension (φ=1)	32	C2.3(D4.10D4)	128,591
C₂.₄(D₄.₁₀D₄) = C₈.C₂²⋊C₄	central extension (φ=1)	32	C2.4(D4.10D4)	128,614
C₂.₅(D₄.₁₀D₄) = C₄⋊Q₈⋊₁₅C₄	central extension (φ=1)	32	C2.5(D4.10D4)	128,618
C₂.₆(D₄.₁₀D₄) = C₄⋊C₄.₆D₄	central stem extension (φ=1)	32	C2.6(D4.10D4)	128,335
C₂.₇(D₄.₁₀D₄) = Q₈⋊D₄⋊C₂	central stem extension (φ=1)	32	C2.7(D4.10D4)	128,336
C₂.₈(D₄.₁₀D₄) = (C₂×C₄)⋊Q₁₆	central stem extension (φ=1)	32	C2.8(D4.10D4)	128,337
C₂.₉(D₄.₁₀D₄) = C₄⋊C₄.₁₂D₄	central stem extension (φ=1)	32	C2.9(D4.10D4)	128,341
C₂.₁₀(D₄.₁₀D₄) = (C₂×C₄).₅D₈	central stem extension (φ=1)	32	C2.10(D4.10D4)	128,342
C₂.₁₁(D₄.₁₀D₄) = (C₂×C₄).SD₁₆	central stem extension (φ=1)	32	C2.11(D4.10D4)	128,343
C₂.₁₂(D₄.₁₀D₄) = D₄.₇D₈	central stem extension (φ=1)	64	C2.12(D4.10D4)	128,379
C₂.₁₃(D₄.₁₀D₄) = Q₈⋊₄Q₁₆	central stem extension (φ=1)	128	C2.13(D4.10D4)	128,380
C₂.₁₄(D₄.₁₀D₄) = D₄⋊₄Q₁₆	central stem extension (φ=1)	64	C2.14(D4.10D4)	128,381
C₂.₁₅(D₄.₁₀D₄) = C₄².₂₁₁C₂³	central stem extension (φ=1)	64	C2.15(D4.10D4)	128,382
C₂.₁₆(D₄.₁₀D₄) = Q₈⋊₄SD₁₆	central stem extension (φ=1)	64	C2.16(D4.10D4)	128,383
C₂.₁₇(D₄.₁₀D₄) = C₄².₂₁₃C₂³	central stem extension (φ=1)	64	C2.17(D4.10D4)	128,384
C₂.₁₈(D₄.₁₀D₄) = Q₈.SD₁₆	central stem extension (φ=1)	128	C2.18(D4.10D4)	128,385
C₂.₁₉(D₄.₁₀D₄) = D₄⋊₄SD₁₆	central stem extension (φ=1)	64	C2.19(D4.10D4)	128,386
C₂.₂₀(D₄.₁₀D₄) = C₄².₆C₂³	central stem extension (φ=1)	64	C2.20(D4.10D4)	128,392
C₂.₂₁(D₄.₁₀D₄) = C₄².₇C₂³	central stem extension (φ=1)	64	C2.21(D4.10D4)	128,393
C₂.₂₂(D₄.₁₀D₄) = C₄².₉C₂³	central stem extension (φ=1)	128	C2.22(D4.10D4)	128,395
C₂.₂₃(D₄.₁₀D₄) = C₄².₁₀C₂³	central stem extension (φ=1)	64	C2.23(D4.10D4)	128,396
C₂.₂₄(D₄.₁₀D₄) = C₄².₁₃₀D₄	central stem extension (φ=1)	32	C2.24(D4.10D4)	128,737
C₂.₂₅(D₄.₁₀D₄) = M₄(2)⋊₄D₄	central stem extension (φ=1)	32	C2.25(D4.10D4)	128,739
C₂.₂₆(D₄.₁₀D₄) = (C₂×Q₈)⋊₂Q₈	central stem extension (φ=1)	32	C2.26(D4.10D4)	128,760
C₂.₂₇(D₄.₁₀D₄) = M₄(2).₇D₄	central stem extension (φ=1)	32	C2.27(D4.10D4)	128,770
C₂.₂₈(D₄.₁₀D₄) = C₄²⋊₁₁D₄	central stem extension (φ=1)	32	C2.28(D4.10D4)	128,771
C₂.₂₉(D₄.₁₀D₄) = M₄(2)⋊Q₈	central stem extension (φ=1)	32	C2.29(D4.10D4)	128,792

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Extensions 1→N→G→Q→1 with N=C2 and Q=D4.10D4

Extensions 1→N→G→Q→1 with N=C₂ and Q=D₄.₁₀D₄