# Extensions 1→N→G→Q→1 with N=C10 and Q=S3×C8

Direct product G=N×Q with N=C10 and Q=S3×C8
dρLabelID
S3×C2×C40240S3xC2xC40480,778

Semidirect products G=N:Q with N=C10 and Q=S3×C8
extensionφ:Q→Aut NdρLabelID
C101(S3×C8) = C2×D15⋊C8φ: S3×C8/Dic3C4 ⊆ Aut C10240C10:1(S3xC8)480,1006
C102(S3×C8) = C2×S3×C5⋊C8φ: S3×C8/D6C4 ⊆ Aut C10240C10:2(S3xC8)480,1002
C103(S3×C8) = C2×D152C8φ: S3×C8/C3⋊C8C2 ⊆ Aut C10240C10:3(S3xC8)480,365
C104(S3×C8) = C2×C8×D15φ: S3×C8/C24C2 ⊆ Aut C10240C10:4(S3xC8)480,864
C105(S3×C8) = C2×S3×C52C8φ: S3×C8/C4×S3C2 ⊆ Aut C10240C10:5(S3xC8)480,361

Non-split extensions G=N.Q with N=C10 and Q=S3×C8
extensionφ:Q→Aut NdρLabelID
C10.1(S3×C8) = D15⋊C16φ: S3×C8/Dic3C4 ⊆ Aut C102408C10.1(S3xC8)480,240
C10.2(S3×C8) = D30.C8φ: S3×C8/Dic3C4 ⊆ Aut C102408C10.2(S3xC8)480,242
C10.3(S3×C8) = D30⋊C8φ: S3×C8/Dic3C4 ⊆ Aut C10240C10.3(S3xC8)480,247
C10.4(S3×C8) = Dic15⋊C8φ: S3×C8/Dic3C4 ⊆ Aut C10480C10.4(S3xC8)480,253
C10.5(S3×C8) = S3×C5⋊C16φ: S3×C8/D6C4 ⊆ Aut C102408C10.5(S3xC8)480,239
C10.6(S3×C8) = C15⋊M5(2)φ: S3×C8/D6C4 ⊆ Aut C102408C10.6(S3xC8)480,241
C10.7(S3×C8) = Dic3×C5⋊C8φ: S3×C8/D6C4 ⊆ Aut C10480C10.7(S3xC8)480,244
C10.8(S3×C8) = Dic5.22D12φ: S3×C8/D6C4 ⊆ Aut C10240C10.8(S3xC8)480,246
C10.9(S3×C8) = C30.4M4(2)φ: S3×C8/D6C4 ⊆ Aut C10480C10.9(S3xC8)480,252
C10.10(S3×C8) = D152C16φ: S3×C8/C3⋊C8C2 ⊆ Aut C102404C10.10(S3xC8)480,9
C10.11(S3×C8) = D30.5C8φ: S3×C8/C3⋊C8C2 ⊆ Aut C102404C10.11(S3xC8)480,12
C10.12(S3×C8) = Dic154C8φ: S3×C8/C3⋊C8C2 ⊆ Aut C10480C10.12(S3xC8)480,27
C10.13(S3×C8) = D304C8φ: S3×C8/C3⋊C8C2 ⊆ Aut C10240C10.13(S3xC8)480,33
C10.14(S3×C8) = C60.14Q8φ: S3×C8/C3⋊C8C2 ⊆ Aut C10480C10.14(S3xC8)480,59
C10.15(S3×C8) = C16×D15φ: S3×C8/C24C2 ⊆ Aut C102402C10.15(S3xC8)480,157
C10.16(S3×C8) = C80⋊S3φ: S3×C8/C24C2 ⊆ Aut C102402C10.16(S3xC8)480,158
C10.17(S3×C8) = C8×Dic15φ: S3×C8/C24C2 ⊆ Aut C10480C10.17(S3xC8)480,173
C10.18(S3×C8) = C60.26Q8φ: S3×C8/C24C2 ⊆ Aut C10480C10.18(S3xC8)480,174
C10.19(S3×C8) = D303C8φ: S3×C8/C24C2 ⊆ Aut C10240C10.19(S3xC8)480,180
C10.20(S3×C8) = S3×C52C16φ: S3×C8/C4×S3C2 ⊆ Aut C102404C10.20(S3xC8)480,8
C10.21(S3×C8) = C40.52D6φ: S3×C8/C4×S3C2 ⊆ Aut C102404C10.21(S3xC8)480,11
C10.22(S3×C8) = Dic3×C52C8φ: S3×C8/C4×S3C2 ⊆ Aut C10480C10.22(S3xC8)480,26
C10.23(S3×C8) = C60.94D4φ: S3×C8/C4×S3C2 ⊆ Aut C10240C10.23(S3xC8)480,32
C10.24(S3×C8) = C60.15Q8φ: S3×C8/C4×S3C2 ⊆ Aut C10480C10.24(S3xC8)480,60
C10.25(S3×C8) = S3×C80central extension (φ=1)2402C10.25(S3xC8)480,116
C10.26(S3×C8) = C5×D6.C8central extension (φ=1)2402C10.26(S3xC8)480,117
C10.27(S3×C8) = Dic3×C40central extension (φ=1)480C10.27(S3xC8)480,132
C10.28(S3×C8) = C5×Dic3⋊C8central extension (φ=1)480C10.28(S3xC8)480,133
C10.29(S3×C8) = C5×D6⋊C8central extension (φ=1)240C10.29(S3xC8)480,139

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