Extensions 1→N→G→Q→1 with N=C2 and Q=C4×S3×D5

Direct product G=N×Q with N=C2 and Q=C4×S3×D5
dρLabelID
S3×C2×C4×D5120S3xC2xC4xD5480,1086


Non-split extensions G=N.Q with N=C2 and Q=C4×S3×D5
extensionφ:Q→Aut NdρLabelID
C2.1(C4×S3×D5) = S3×C8×D5central extension (φ=1)1204C2.1(C4xS3xD5)480,319
C2.2(C4×S3×D5) = C4×D5×Dic3central extension (φ=1)240C2.2(C4xS3xD5)480,467
C2.3(C4×S3×D5) = C4×S3×Dic5central extension (φ=1)240C2.3(C4xS3xD5)480,473
C2.4(C4×S3×D5) = C4×D30.C2central extension (φ=1)240C2.4(C4xS3xD5)480,477
C2.5(C4×S3×D5) = D5×C8⋊S3central stem extension (φ=1)1204C2.5(C4xS3xD5)480,320
C2.6(C4×S3×D5) = S3×C8⋊D5central stem extension (φ=1)1204C2.6(C4xS3xD5)480,321
C2.7(C4×S3×D5) = C40⋊D6central stem extension (φ=1)1204C2.7(C4xS3xD5)480,322
C2.8(C4×S3×D5) = C40.54D6central stem extension (φ=1)2404C2.8(C4xS3xD5)480,341
C2.9(C4×S3×D5) = C40.34D6central stem extension (φ=1)2404C2.9(C4xS3xD5)480,342
C2.10(C4×S3×D5) = C40.55D6central stem extension (φ=1)2404C2.10(C4xS3xD5)480,343
C2.11(C4×S3×D5) = C40.35D6central stem extension (φ=1)2404C2.11(C4xS3xD5)480,344
C2.12(C4×S3×D5) = Dic55Dic6central stem extension (φ=1)480C2.12(C4xS3xD5)480,399
C2.13(C4×S3×D5) = Dic35Dic10central stem extension (φ=1)480C2.13(C4xS3xD5)480,400
C2.14(C4×S3×D5) = Dic155Q8central stem extension (φ=1)480C2.14(C4xS3xD5)480,401
C2.15(C4×S3×D5) = D5×Dic3⋊C4central stem extension (φ=1)240C2.15(C4xS3xD5)480,468
C2.16(C4×S3×D5) = (D5×Dic3)⋊C4central stem extension (φ=1)240C2.16(C4xS3xD5)480,469
C2.17(C4×S3×D5) = D10.19(C4×S3)central stem extension (φ=1)240C2.17(C4xS3xD5)480,470
C2.18(C4×S3×D5) = Dic34D20central stem extension (φ=1)240C2.18(C4xS3xD5)480,471
C2.19(C4×S3×D5) = Dic1513D4central stem extension (φ=1)240C2.19(C4xS3xD5)480,472
C2.20(C4×S3×D5) = D6.(C4×D5)central stem extension (φ=1)240C2.20(C4xS3xD5)480,474
C2.21(C4×S3×D5) = S3×C10.D4central stem extension (φ=1)240C2.21(C4xS3xD5)480,475
C2.22(C4×S3×D5) = (S3×Dic5)⋊C4central stem extension (φ=1)240C2.22(C4xS3xD5)480,476
C2.23(C4×S3×D5) = D30.C2⋊C4central stem extension (φ=1)240C2.23(C4xS3xD5)480,478
C2.24(C4×S3×D5) = D30.23(C2×C4)central stem extension (φ=1)240C2.24(C4xS3xD5)480,479
C2.25(C4×S3×D5) = D30.Q8central stem extension (φ=1)240C2.25(C4xS3xD5)480,480
C2.26(C4×S3×D5) = Dic54D12central stem extension (φ=1)240C2.26(C4xS3xD5)480,481
C2.27(C4×S3×D5) = Dic1514D4central stem extension (φ=1)240C2.27(C4xS3xD5)480,482
C2.28(C4×S3×D5) = C4×C15⋊D4central stem extension (φ=1)240C2.28(C4xS3xD5)480,515
C2.29(C4×S3×D5) = D6⋊(C4×D5)central stem extension (φ=1)240C2.29(C4xS3xD5)480,516
C2.30(C4×S3×D5) = C1517(C4×D4)central stem extension (φ=1)240C2.30(C4xS3xD5)480,517
C2.31(C4×S3×D5) = Dic159D4central stem extension (φ=1)240C2.31(C4xS3xD5)480,518
C2.32(C4×S3×D5) = C4×C3⋊D20central stem extension (φ=1)240C2.32(C4xS3xD5)480,519
C2.33(C4×S3×D5) = C1520(C4×D4)central stem extension (φ=1)240C2.33(C4xS3xD5)480,520
C2.34(C4×S3×D5) = C4×C5⋊D12central stem extension (φ=1)240C2.34(C4xS3xD5)480,521
C2.35(C4×S3×D5) = C1522(C4×D4)central stem extension (φ=1)240C2.35(C4xS3xD5)480,522
C2.36(C4×S3×D5) = C4×C15⋊Q8central stem extension (φ=1)480C2.36(C4xS3xD5)480,543
C2.37(C4×S3×D5) = D5×D6⋊C4central stem extension (φ=1)120C2.37(C4xS3xD5)480,547
C2.38(C4×S3×D5) = S3×D10⋊C4central stem extension (φ=1)120C2.38(C4xS3xD5)480,548
C2.39(C4×S3×D5) = D30.27D4central stem extension (φ=1)120C2.39(C4xS3xD5)480,549

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