Extensions 1→N→G→Q→1 with N=C2 and Q=C2×C5⋊D12

Direct product G=N×Q with N=C2 and Q=C2×C5⋊D12
dρLabelID
C22×C5⋊D12240C2^2xC5:D12480,1120


Non-split extensions G=N.Q with N=C2 and Q=C2×C5⋊D12
extensionφ:Q→Aut NdρLabelID
C2.1(C2×C5⋊D12) = C4×C5⋊D12central extension (φ=1)240C2.1(C2xC5:D12)480,521
C2.2(C2×C5⋊D12) = C2×D6⋊Dic5central extension (φ=1)240C2.2(C2xC5:D12)480,614
C2.3(C2×C5⋊D12) = C2×D304C4central extension (φ=1)240C2.3(C2xC5:D12)480,616
C2.4(C2×C5⋊D12) = C2×C30.Q8central extension (φ=1)480C2.4(C2xC5:D12)480,617
C2.5(C2×C5⋊D12) = C2×C5⋊D24central stem extension (φ=1)240C2.5(C2xC5:D12)480,378
C2.6(C2×C5⋊D12) = C20.60D12central stem extension (φ=1)2404C2.6(C2xC5:D12)480,379
C2.7(C2×C5⋊D12) = D6036C22central stem extension (φ=1)1204C2.7(C2xC5:D12)480,380
C2.8(C2×C5⋊D12) = C60.38D4central stem extension (φ=1)1204+C2.8(C2xC5:D12)480,381
C2.9(C2×C5⋊D12) = C2×D12.D5central stem extension (φ=1)240C2.9(C2xC5:D12)480,392
C2.10(C2×C5⋊D12) = C2×Dic6⋊D5central stem extension (φ=1)240C2.10(C2xC5:D12)480,393
C2.11(C2×C5⋊D12) = C2×C5⋊Dic12central stem extension (φ=1)480C2.11(C2xC5:D12)480,396
C2.12(C2×C5⋊D12) = C20.D12central stem extension (φ=1)2404C2.12(C2xC5:D12)480,397
C2.13(C2×C5⋊D12) = D12.33D10central stem extension (φ=1)2404-C2.13(C2xC5:D12)480,398
C2.14(C2×C5⋊D12) = C60.45D4central stem extension (φ=1)240C2.14(C2xC5:D12)480,441
C2.15(C2×C5⋊D12) = C60.69D4central stem extension (φ=1)240C2.15(C2xC5:D12)480,449
C2.16(C2×C5⋊D12) = C60.70D4central stem extension (φ=1)240C2.16(C2xC5:D12)480,451
C2.17(C2×C5⋊D12) = Dic5⋊Dic6central stem extension (φ=1)480C2.17(C2xC5:D12)480,452
C2.18(C2×C5⋊D12) = D309Q8central stem extension (φ=1)240C2.18(C2xC5:D12)480,459
C2.19(C2×C5⋊D12) = C20⋊D12central stem extension (φ=1)240C2.19(C2xC5:D12)480,527
C2.20(C2×C5⋊D12) = C606D4central stem extension (φ=1)240C2.20(C2xC5:D12)480,536
C2.21(C2×C5⋊D12) = C202D12central stem extension (φ=1)240C2.21(C2xC5:D12)480,542
C2.22(C2×C5⋊D12) = C10.(C2×D12)central stem extension (φ=1)240C2.22(C2xC5:D12)480,618
C2.23(C2×C5⋊D12) = (C2×C10).D12central stem extension (φ=1)240C2.23(C2xC5:D12)480,619
C2.24(C2×C5⋊D12) = (C2×C10)⋊4D12central stem extension (φ=1)240C2.24(C2xC5:D12)480,642
C2.25(C2×C5⋊D12) = (C2×C10)⋊11D12central stem extension (φ=1)120C2.25(C2xC5:D12)480,646
C2.26(C2×C5⋊D12) = D3019D4central stem extension (φ=1)120C2.26(C2xC5:D12)480,649

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