Extensions 1→N→G→Q→1 with N=C4 and Q=S3×Dic5

Direct product G=N×Q with N=C4 and Q=S3×Dic5
dρLabelID
C4×S3×Dic5240C4xS3xDic5480,473

Semidirect products G=N:Q with N=C4 and Q=S3×Dic5
extensionφ:Q→Aut NdρLabelID
C41(S3×Dic5) = Dic5×D12φ: S3×Dic5/C3×Dic5C2 ⊆ Aut C4240C4:1(S3xDic5)480,491
C42(S3×Dic5) = Dic158D4φ: S3×Dic5/Dic15C2 ⊆ Aut C4240C4:2(S3xDic5)480,511
C43(S3×Dic5) = S3×C4⋊Dic5φ: S3×Dic5/S3×C10C2 ⊆ Aut C4240C4:3(S3xDic5)480,502

Non-split extensions G=N.Q with N=C4 and Q=S3×Dic5
extensionφ:Q→Aut NdρLabelID
C4.1(S3×Dic5) = C10.D24φ: S3×Dic5/C3×Dic5C2 ⊆ Aut C4240C4.1(S3xDic5)480,43
C4.2(S3×Dic5) = C10.Dic12φ: S3×Dic5/C3×Dic5C2 ⊆ Aut C4480C4.2(S3xDic5)480,49
C4.3(S3×Dic5) = C60.99D4φ: S3×Dic5/C3×Dic5C2 ⊆ Aut C41204C4.3(S3xDic5)480,55
C4.4(S3×Dic5) = D12.2Dic5φ: S3×Dic5/C3×Dic5C2 ⊆ Aut C42404C4.4(S3xDic5)480,362
C4.5(S3×Dic5) = Dic5×Dic6φ: S3×Dic5/C3×Dic5C2 ⊆ Aut C4480C4.5(S3xDic5)480,408
C4.6(S3×Dic5) = D12⋊Dic5φ: S3×Dic5/Dic15C2 ⊆ Aut C4240C4.6(S3xDic5)480,42
C4.7(S3×Dic5) = Dic6⋊Dic5φ: S3×Dic5/Dic15C2 ⊆ Aut C4480C4.7(S3xDic5)480,48
C4.8(S3×Dic5) = C60.98D4φ: S3×Dic5/Dic15C2 ⊆ Aut C41204C4.8(S3xDic5)480,54
C4.9(S3×Dic5) = D12.Dic5φ: S3×Dic5/Dic15C2 ⊆ Aut C42404C4.9(S3xDic5)480,364
C4.10(S3×Dic5) = Dic157Q8φ: S3×Dic5/Dic15C2 ⊆ Aut C4480C4.10(S3xDic5)480,420
C4.11(S3×Dic5) = C60.Q8φ: S3×Dic5/S3×C10C2 ⊆ Aut C4480C4.11(S3xDic5)480,63
C4.12(S3×Dic5) = C60.5Q8φ: S3×Dic5/S3×C10C2 ⊆ Aut C4480C4.12(S3xDic5)480,66
C4.13(S3×Dic5) = C12.59D20φ: S3×Dic5/S3×C10C2 ⊆ Aut C42404C4.13(S3xDic5)480,69
C4.14(S3×Dic5) = S3×C4.Dic5φ: S3×Dic5/S3×C10C2 ⊆ Aut C41204C4.14(S3xDic5)480,363
C4.15(S3×Dic5) = (S3×C20)⋊5C4φ: S3×Dic5/S3×C10C2 ⊆ Aut C4240C4.15(S3xDic5)480,414
C4.16(S3×Dic5) = S3×C52C16central extension (φ=1)2404C4.16(S3xDic5)480,8
C4.17(S3×Dic5) = C40.52D6central extension (φ=1)2404C4.17(S3xDic5)480,11
C4.18(S3×Dic5) = Dic5×C3⋊C8central extension (φ=1)480C4.18(S3xDic5)480,25
C4.19(S3×Dic5) = Dic154C8central extension (φ=1)480C4.19(S3xDic5)480,27
C4.20(S3×Dic5) = C30.21C42central extension (φ=1)480C4.20(S3xDic5)480,28
C4.21(S3×Dic5) = C30.23C42central extension (φ=1)480C4.21(S3xDic5)480,30
C4.22(S3×Dic5) = C2×S3×C52C8central extension (φ=1)240C4.22(S3xDic5)480,361
C4.23(S3×Dic5) = C2×D6.Dic5central extension (φ=1)240C4.23(S3xDic5)480,370
C4.24(S3×Dic5) = (S3×C20)⋊7C4central extension (φ=1)240C4.24(S3xDic5)480,447

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