# Extensions 1→N→G→Q→1 with N=C10 and Q=S3×C2×C4

Direct product G=N×Q with N=C10 and Q=S3×C2×C4
dρLabelID
S3×C22×C20240S3xC2^2xC20480,1151

Semidirect products G=N:Q with N=C10 and Q=S3×C2×C4
extensionφ:Q→Aut NdρLabelID
C10⋊(S3×C2×C4) = C22×S3×F5φ: S3×C2×C4/D6C4 ⊆ Aut C1060C10:(S3xC2xC4)480,1197
C102(S3×C2×C4) = S3×C2×C4×D5φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10120C10:2(S3xC2xC4)480,1086
C103(S3×C2×C4) = C22×D30.C2φ: S3×C2×C4/C2×Dic3C2 ⊆ Aut C10240C10:3(S3xC2xC4)480,1117
C104(S3×C2×C4) = C22×C4×D15φ: S3×C2×C4/C2×C12C2 ⊆ Aut C10240C10:4(S3xC2xC4)480,1166
C105(S3×C2×C4) = C22×S3×Dic5φ: S3×C2×C4/C22×S3C2 ⊆ Aut C10240C10:5(S3xC2xC4)480,1115

Non-split extensions G=N.Q with N=C10 and Q=S3×C2×C4
extensionφ:Q→Aut NdρLabelID
C10.1(S3×C2×C4) = F5×Dic6φ: S3×C2×C4/D6C4 ⊆ Aut C101208-C10.1(S3xC2xC4)480,982
C10.2(S3×C2×C4) = C4⋊F53S3φ: S3×C2×C4/D6C4 ⊆ Aut C101208C10.2(S3xC2xC4)480,983
C10.3(S3×C2×C4) = Dic65F5φ: S3×C2×C4/D6C4 ⊆ Aut C101208-C10.3(S3xC2xC4)480,984
C10.4(S3×C2×C4) = (C4×S3)⋊F5φ: S3×C2×C4/D6C4 ⊆ Aut C101208C10.4(S3xC2xC4)480,985
C10.5(S3×C2×C4) = S3×D5⋊C8φ: S3×C2×C4/D6C4 ⊆ Aut C101208C10.5(S3xC2xC4)480,986
C10.6(S3×C2×C4) = D12.2F5φ: S3×C2×C4/D6C4 ⊆ Aut C102408-C10.6(S3xC2xC4)480,987
C10.7(S3×C2×C4) = S3×C4.F5φ: S3×C2×C4/D6C4 ⊆ Aut C101208C10.7(S3xC2xC4)480,988
C10.8(S3×C2×C4) = D12.F5φ: S3×C2×C4/D6C4 ⊆ Aut C102408-C10.8(S3xC2xC4)480,989
C10.9(S3×C2×C4) = D60.C4φ: S3×C2×C4/D6C4 ⊆ Aut C102408+C10.9(S3xC2xC4)480,990
C10.10(S3×C2×C4) = D15⋊M4(2)φ: S3×C2×C4/D6C4 ⊆ Aut C101208C10.10(S3xC2xC4)480,991
C10.11(S3×C2×C4) = Dic6.F5φ: S3×C2×C4/D6C4 ⊆ Aut C102408+C10.11(S3xC2xC4)480,992
C10.12(S3×C2×C4) = C5⋊C8⋊D6φ: S3×C2×C4/D6C4 ⊆ Aut C101208C10.12(S3xC2xC4)480,993
C10.13(S3×C2×C4) = C4×S3×F5φ: S3×C2×C4/D6C4 ⊆ Aut C10608C10.13(S3xC2xC4)480,994
C10.14(S3×C2×C4) = F5×D12φ: S3×C2×C4/D6C4 ⊆ Aut C10608+C10.14(S3xC2xC4)480,995
C10.15(S3×C2×C4) = S3×C4⋊F5φ: S3×C2×C4/D6C4 ⊆ Aut C10608C10.15(S3xC2xC4)480,996
C10.16(S3×C2×C4) = D603C4φ: S3×C2×C4/D6C4 ⊆ Aut C10608+C10.16(S3xC2xC4)480,997
C10.17(S3×C2×C4) = C2×Dic3×F5φ: S3×C2×C4/D6C4 ⊆ Aut C10120C10.17(S3xC2xC4)480,998
C10.18(S3×C2×C4) = C22⋊F5.S3φ: S3×C2×C4/D6C4 ⊆ Aut C101208-C10.18(S3xC2xC4)480,999
C10.19(S3×C2×C4) = C2×D6⋊F5φ: S3×C2×C4/D6C4 ⊆ Aut C10120C10.19(S3xC2xC4)480,1000
C10.20(S3×C2×C4) = C2×Dic3⋊F5φ: S3×C2×C4/D6C4 ⊆ Aut C10120C10.20(S3xC2xC4)480,1001
C10.21(S3×C2×C4) = C2×S3×C5⋊C8φ: S3×C2×C4/D6C4 ⊆ Aut C10240C10.21(S3xC2xC4)480,1002
C10.22(S3×C2×C4) = C5⋊C8.D6φ: S3×C2×C4/D6C4 ⊆ Aut C102408C10.22(S3xC2xC4)480,1003
C10.23(S3×C2×C4) = S3×C22.F5φ: S3×C2×C4/D6C4 ⊆ Aut C101208-C10.23(S3xC2xC4)480,1004
C10.24(S3×C2×C4) = D15⋊C8⋊C2φ: S3×C2×C4/D6C4 ⊆ Aut C102408C10.24(S3xC2xC4)480,1005
C10.25(S3×C2×C4) = C2×D15⋊C8φ: S3×C2×C4/D6C4 ⊆ Aut C10240C10.25(S3xC2xC4)480,1006
C10.26(S3×C2×C4) = D152M4(2)φ: S3×C2×C4/D6C4 ⊆ Aut C101208+C10.26(S3xC2xC4)480,1007
C10.27(S3×C2×C4) = C2×D6.F5φ: S3×C2×C4/D6C4 ⊆ Aut C10240C10.27(S3xC2xC4)480,1008
C10.28(S3×C2×C4) = C2×Dic3.F5φ: S3×C2×C4/D6C4 ⊆ Aut C10240C10.28(S3xC2xC4)480,1009
C10.29(S3×C2×C4) = F5×C3⋊D4φ: S3×C2×C4/D6C4 ⊆ Aut C10608C10.29(S3xC2xC4)480,1010
C10.30(S3×C2×C4) = S3×C22⋊F5φ: S3×C2×C4/D6C4 ⊆ Aut C10608+C10.30(S3xC2xC4)480,1011
C10.31(S3×C2×C4) = C3⋊D4⋊F5φ: S3×C2×C4/D6C4 ⊆ Aut C10608C10.31(S3xC2xC4)480,1012
C10.32(S3×C2×C4) = S3×C8×D5φ: S3×C2×C4/C4×S3C2 ⊆ Aut C101204C10.32(S3xC2xC4)480,319
C10.33(S3×C2×C4) = D5×C8⋊S3φ: S3×C2×C4/C4×S3C2 ⊆ Aut C101204C10.33(S3xC2xC4)480,320
C10.34(S3×C2×C4) = S3×C8⋊D5φ: S3×C2×C4/C4×S3C2 ⊆ Aut C101204C10.34(S3xC2xC4)480,321
C10.35(S3×C2×C4) = C40⋊D6φ: S3×C2×C4/C4×S3C2 ⊆ Aut C101204C10.35(S3xC2xC4)480,322
C10.36(S3×C2×C4) = C40.54D6φ: S3×C2×C4/C4×S3C2 ⊆ Aut C102404C10.36(S3xC2xC4)480,341
C10.37(S3×C2×C4) = C40.34D6φ: S3×C2×C4/C4×S3C2 ⊆ Aut C102404C10.37(S3xC2xC4)480,342
C10.38(S3×C2×C4) = C40.55D6φ: S3×C2×C4/C4×S3C2 ⊆ Aut C102404C10.38(S3xC2xC4)480,343
C10.39(S3×C2×C4) = C40.35D6φ: S3×C2×C4/C4×S3C2 ⊆ Aut C102404C10.39(S3xC2xC4)480,344
C10.40(S3×C2×C4) = Dic55Dic6φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10480C10.40(S3xC2xC4)480,399
C10.41(S3×C2×C4) = Dic35Dic10φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10480C10.41(S3xC2xC4)480,400
C10.42(S3×C2×C4) = Dic155Q8φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10480C10.42(S3xC2xC4)480,401
C10.43(S3×C2×C4) = C4×D5×Dic3φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10240C10.43(S3xC2xC4)480,467
C10.44(S3×C2×C4) = D5×Dic3⋊C4φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10240C10.44(S3xC2xC4)480,468
C10.45(S3×C2×C4) = (D5×Dic3)⋊C4φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10240C10.45(S3xC2xC4)480,469
C10.46(S3×C2×C4) = D10.19(C4×S3)φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10240C10.46(S3xC2xC4)480,470
C10.47(S3×C2×C4) = Dic34D20φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10240C10.47(S3xC2xC4)480,471
C10.48(S3×C2×C4) = Dic1513D4φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10240C10.48(S3xC2xC4)480,472
C10.49(S3×C2×C4) = C4×S3×Dic5φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10240C10.49(S3xC2xC4)480,473
C10.50(S3×C2×C4) = D6.(C4×D5)φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10240C10.50(S3xC2xC4)480,474
C10.51(S3×C2×C4) = S3×C10.D4φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10240C10.51(S3xC2xC4)480,475
C10.52(S3×C2×C4) = (S3×Dic5)⋊C4φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10240C10.52(S3xC2xC4)480,476
C10.53(S3×C2×C4) = C4×D30.C2φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10240C10.53(S3xC2xC4)480,477
C10.54(S3×C2×C4) = D30.C2⋊C4φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10240C10.54(S3xC2xC4)480,478
C10.55(S3×C2×C4) = D30.23(C2×C4)φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10240C10.55(S3xC2xC4)480,479
C10.56(S3×C2×C4) = D30.Q8φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10240C10.56(S3xC2xC4)480,480
C10.57(S3×C2×C4) = Dic54D12φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10240C10.57(S3xC2xC4)480,481
C10.58(S3×C2×C4) = Dic1514D4φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10240C10.58(S3xC2xC4)480,482
C10.59(S3×C2×C4) = C4×C15⋊D4φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10240C10.59(S3xC2xC4)480,515
C10.60(S3×C2×C4) = D6⋊(C4×D5)φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10240C10.60(S3xC2xC4)480,516
C10.61(S3×C2×C4) = C1517(C4×D4)φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10240C10.61(S3xC2xC4)480,517
C10.62(S3×C2×C4) = Dic159D4φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10240C10.62(S3xC2xC4)480,518
C10.63(S3×C2×C4) = C4×C3⋊D20φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10240C10.63(S3xC2xC4)480,519
C10.64(S3×C2×C4) = C1520(C4×D4)φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10240C10.64(S3xC2xC4)480,520
C10.65(S3×C2×C4) = C4×C5⋊D12φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10240C10.65(S3xC2xC4)480,521
C10.66(S3×C2×C4) = C1522(C4×D4)φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10240C10.66(S3xC2xC4)480,522
C10.67(S3×C2×C4) = C4×C15⋊Q8φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10480C10.67(S3xC2xC4)480,543
C10.68(S3×C2×C4) = D5×D6⋊C4φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10120C10.68(S3xC2xC4)480,547
C10.69(S3×C2×C4) = S3×D10⋊C4φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10120C10.69(S3xC2xC4)480,548
C10.70(S3×C2×C4) = D30.27D4φ: S3×C2×C4/C4×S3C2 ⊆ Aut C10120C10.70(S3xC2xC4)480,549
C10.71(S3×C2×C4) = C2×D152C8φ: S3×C2×C4/C2×Dic3C2 ⊆ Aut C10240C10.71(S3xC2xC4)480,365
C10.72(S3×C2×C4) = D60.5C4φ: S3×C2×C4/C2×Dic3C2 ⊆ Aut C102404C10.72(S3xC2xC4)480,366
C10.73(S3×C2×C4) = D60.4C4φ: S3×C2×C4/C2×Dic3C2 ⊆ Aut C102404C10.73(S3xC2xC4)480,367
C10.74(S3×C2×C4) = D154M4(2)φ: S3×C2×C4/C2×Dic3C2 ⊆ Aut C101204C10.74(S3xC2xC4)480,368
C10.75(S3×C2×C4) = C2×D30.5C4φ: S3×C2×C4/C2×Dic3C2 ⊆ Aut C10240C10.75(S3xC2xC4)480,371
C10.76(S3×C2×C4) = Dic3017C4φ: S3×C2×C4/C2×Dic3C2 ⊆ Aut C10480C10.76(S3xC2xC4)480,409
C10.77(S3×C2×C4) = Dic3014C4φ: S3×C2×C4/C2×Dic3C2 ⊆ Aut C10480C10.77(S3xC2xC4)480,416
C10.78(S3×C2×C4) = (C4×D15)⋊8C4φ: S3×C2×C4/C2×Dic3C2 ⊆ Aut C10240C10.78(S3xC2xC4)480,423
C10.79(S3×C2×C4) = (C4×D15)⋊10C4φ: S3×C2×C4/C2×Dic3C2 ⊆ Aut C10240C10.79(S3xC2xC4)480,462
C10.80(S3×C2×C4) = D6017C4φ: S3×C2×C4/C2×Dic3C2 ⊆ Aut C10240C10.80(S3xC2xC4)480,494
C10.81(S3×C2×C4) = D6014C4φ: S3×C2×C4/C2×Dic3C2 ⊆ Aut C10240C10.81(S3xC2xC4)480,504
C10.82(S3×C2×C4) = D30.2Q8φ: S3×C2×C4/C2×Dic3C2 ⊆ Aut C10240C10.82(S3xC2xC4)480,513
C10.83(S3×C2×C4) = C23.48(S3×D5)φ: S3×C2×C4/C2×Dic3C2 ⊆ Aut C10240C10.83(S3xC2xC4)480,608
C10.84(S3×C2×C4) = C2×D304C4φ: S3×C2×C4/C2×Dic3C2 ⊆ Aut C10240C10.84(S3xC2xC4)480,616
C10.85(S3×C2×C4) = C2×Dic155C4φ: S3×C2×C4/C2×Dic3C2 ⊆ Aut C10480C10.85(S3xC2xC4)480,620
C10.86(S3×C2×C4) = C1526(C4×D4)φ: S3×C2×C4/C2×Dic3C2 ⊆ Aut C10240C10.86(S3xC2xC4)480,628
C10.87(S3×C2×C4) = C1528(C4×D4)φ: S3×C2×C4/C2×Dic3C2 ⊆ Aut C10240C10.87(S3xC2xC4)480,632
C10.88(S3×C2×C4) = D30.45D4φ: S3×C2×C4/C2×Dic3C2 ⊆ Aut C10120C10.88(S3xC2xC4)480,637
C10.89(S3×C2×C4) = C4×Dic30φ: S3×C2×C4/C2×C12C2 ⊆ Aut C10480C10.89(S3xC2xC4)480,833
C10.90(S3×C2×C4) = C42×D15φ: S3×C2×C4/C2×C12C2 ⊆ Aut C10240C10.90(S3xC2xC4)480,836
C10.91(S3×C2×C4) = C422D15φ: S3×C2×C4/C2×C12C2 ⊆ Aut C10240C10.91(S3xC2xC4)480,837
C10.92(S3×C2×C4) = C4×D60φ: S3×C2×C4/C2×C12C2 ⊆ Aut C10240C10.92(S3xC2xC4)480,838
C10.93(S3×C2×C4) = C23.15D30φ: S3×C2×C4/C2×C12C2 ⊆ Aut C10240C10.93(S3xC2xC4)480,842
C10.94(S3×C2×C4) = C22⋊C4×D15φ: S3×C2×C4/C2×C12C2 ⊆ Aut C10120C10.94(S3xC2xC4)480,845
C10.95(S3×C2×C4) = Dic1519D4φ: S3×C2×C4/C2×C12C2 ⊆ Aut C10240C10.95(S3xC2xC4)480,846
C10.96(S3×C2×C4) = Dic1510Q8φ: S3×C2×C4/C2×C12C2 ⊆ Aut C10480C10.96(S3xC2xC4)480,852
C10.97(S3×C2×C4) = C4⋊C4×D15φ: S3×C2×C4/C2×C12C2 ⊆ Aut C10240C10.97(S3xC2xC4)480,856
C10.98(S3×C2×C4) = C4⋊C47D15φ: S3×C2×C4/C2×C12C2 ⊆ Aut C10240C10.98(S3xC2xC4)480,857
C10.99(S3×C2×C4) = D6011C4φ: S3×C2×C4/C2×C12C2 ⊆ Aut C10240C10.99(S3xC2xC4)480,858
C10.100(S3×C2×C4) = C2×C8×D15φ: S3×C2×C4/C2×C12C2 ⊆ Aut C10240C10.100(S3xC2xC4)480,864
C10.101(S3×C2×C4) = C2×C40⋊S3φ: S3×C2×C4/C2×C12C2 ⊆ Aut C10240C10.101(S3xC2xC4)480,865
C10.102(S3×C2×C4) = D60.6C4φ: S3×C2×C4/C2×C12C2 ⊆ Aut C102402C10.102(S3xC2xC4)480,866
C10.103(S3×C2×C4) = M4(2)×D15φ: S3×C2×C4/C2×C12C2 ⊆ Aut C101204C10.103(S3xC2xC4)480,871
C10.104(S3×C2×C4) = D60.3C4φ: S3×C2×C4/C2×C12C2 ⊆ Aut C102404C10.104(S3xC2xC4)480,872
C10.105(S3×C2×C4) = C2×C4×Dic15φ: S3×C2×C4/C2×C12C2 ⊆ Aut C10480C10.105(S3xC2xC4)480,887
C10.106(S3×C2×C4) = C2×C30.4Q8φ: S3×C2×C4/C2×C12C2 ⊆ Aut C10480C10.106(S3xC2xC4)480,888
C10.107(S3×C2×C4) = C2×D303C4φ: S3×C2×C4/C2×C12C2 ⊆ Aut C10240C10.107(S3xC2xC4)480,892
C10.108(S3×C2×C4) = C4×C157D4φ: S3×C2×C4/C2×C12C2 ⊆ Aut C10240C10.108(S3xC2xC4)480,893
C10.109(S3×C2×C4) = C2×S3×C52C8φ: S3×C2×C4/C22×S3C2 ⊆ Aut C10240C10.109(S3xC2xC4)480,361
C10.110(S3×C2×C4) = D12.2Dic5φ: S3×C2×C4/C22×S3C2 ⊆ Aut C102404C10.110(S3xC2xC4)480,362
C10.111(S3×C2×C4) = S3×C4.Dic5φ: S3×C2×C4/C22×S3C2 ⊆ Aut C101204C10.111(S3xC2xC4)480,363
C10.112(S3×C2×C4) = D12.Dic5φ: S3×C2×C4/C22×S3C2 ⊆ Aut C102404C10.112(S3xC2xC4)480,364
C10.113(S3×C2×C4) = C2×D6.Dic5φ: S3×C2×C4/C22×S3C2 ⊆ Aut C10240C10.113(S3xC2xC4)480,370
C10.114(S3×C2×C4) = Dic5×Dic6φ: S3×C2×C4/C22×S3C2 ⊆ Aut C10480C10.114(S3xC2xC4)480,408
C10.115(S3×C2×C4) = (S3×C20)⋊5C4φ: S3×C2×C4/C22×S3C2 ⊆ Aut C10240C10.115(S3xC2xC4)480,414
C10.116(S3×C2×C4) = Dic157Q8φ: S3×C2×C4/C22×S3C2 ⊆ Aut C10480C10.116(S3xC2xC4)480,420
C10.117(S3×C2×C4) = (S3×C20)⋊7C4φ: S3×C2×C4/C22×S3C2 ⊆ Aut C10240C10.117(S3xC2xC4)480,447
C10.118(S3×C2×C4) = Dic5×D12φ: S3×C2×C4/C22×S3C2 ⊆ Aut C10240C10.118(S3xC2xC4)480,491
C10.119(S3×C2×C4) = S3×C4⋊Dic5φ: S3×C2×C4/C22×S3C2 ⊆ Aut C10240C10.119(S3xC2xC4)480,502
C10.120(S3×C2×C4) = Dic158D4φ: S3×C2×C4/C22×S3C2 ⊆ Aut C10240C10.120(S3xC2xC4)480,511
C10.121(S3×C2×C4) = C2×Dic3×Dic5φ: S3×C2×C4/C22×S3C2 ⊆ Aut C10480C10.121(S3xC2xC4)480,603
C10.122(S3×C2×C4) = C23.26(S3×D5)φ: S3×C2×C4/C22×S3C2 ⊆ Aut C10240C10.122(S3xC2xC4)480,605
C10.123(S3×C2×C4) = C2×D6⋊Dic5φ: S3×C2×C4/C22×S3C2 ⊆ Aut C10240C10.123(S3xC2xC4)480,614
C10.124(S3×C2×C4) = C2×C6.Dic10φ: S3×C2×C4/C22×S3C2 ⊆ Aut C10480C10.124(S3xC2xC4)480,621
C10.125(S3×C2×C4) = Dic5×C3⋊D4φ: S3×C2×C4/C22×S3C2 ⊆ Aut C10240C10.125(S3xC2xC4)480,627
C10.126(S3×C2×C4) = S3×C23.D5φ: S3×C2×C4/C22×S3C2 ⊆ Aut C10120C10.126(S3xC2xC4)480,630
C10.127(S3×C2×C4) = Dic1517D4φ: S3×C2×C4/C22×S3C2 ⊆ Aut C10240C10.127(S3xC2xC4)480,636
C10.128(S3×C2×C4) = C20×Dic6central extension (φ=1)480C10.128(S3xC2xC4)480,747
C10.129(S3×C2×C4) = S3×C4×C20central extension (φ=1)240C10.129(S3xC2xC4)480,750
C10.130(S3×C2×C4) = C5×C422S3central extension (φ=1)240C10.130(S3xC2xC4)480,751
C10.131(S3×C2×C4) = C20×D12central extension (φ=1)240C10.131(S3xC2xC4)480,752
C10.132(S3×C2×C4) = C5×C23.16D6central extension (φ=1)240C10.132(S3xC2xC4)480,756
C10.133(S3×C2×C4) = C5×S3×C22⋊C4central extension (φ=1)120C10.133(S3xC2xC4)480,759
C10.134(S3×C2×C4) = C5×Dic34D4central extension (φ=1)240C10.134(S3xC2xC4)480,760
C10.135(S3×C2×C4) = C5×Dic6⋊C4central extension (φ=1)480C10.135(S3xC2xC4)480,766
C10.136(S3×C2×C4) = C5×S3×C4⋊C4central extension (φ=1)240C10.136(S3xC2xC4)480,770
C10.137(S3×C2×C4) = C5×C4⋊C47S3central extension (φ=1)240C10.137(S3xC2xC4)480,771
C10.138(S3×C2×C4) = C5×Dic35D4central extension (φ=1)240C10.138(S3xC2xC4)480,772
C10.139(S3×C2×C4) = S3×C2×C40central extension (φ=1)240C10.139(S3xC2xC4)480,778
C10.140(S3×C2×C4) = C10×C8⋊S3central extension (φ=1)240C10.140(S3xC2xC4)480,779
C10.141(S3×C2×C4) = C5×C8○D12central extension (φ=1)2402C10.141(S3xC2xC4)480,780
C10.142(S3×C2×C4) = C5×S3×M4(2)central extension (φ=1)1204C10.142(S3xC2xC4)480,785
C10.143(S3×C2×C4) = C5×D12.C4central extension (φ=1)2404C10.143(S3xC2xC4)480,786
C10.144(S3×C2×C4) = Dic3×C2×C20central extension (φ=1)480C10.144(S3xC2xC4)480,801
C10.145(S3×C2×C4) = C10×Dic3⋊C4central extension (φ=1)480C10.145(S3xC2xC4)480,802
C10.146(S3×C2×C4) = C10×D6⋊C4central extension (φ=1)240C10.146(S3xC2xC4)480,806
C10.147(S3×C2×C4) = C20×C3⋊D4central extension (φ=1)240C10.147(S3xC2xC4)480,807

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