# Extensions 1→N→G→Q→1 with N=C30 and Q=C22×C4

Direct product G=N×Q with N=C30 and Q=C22×C4
dρLabelID
C23×C60480C2^3xC60480,1180

Semidirect products G=N:Q with N=C30 and Q=C22×C4
extensionφ:Q→Aut NdρLabelID
C30⋊(C22×C4) = C22×S3×F5φ: C22×C4/C2C2×C4 ⊆ Aut C3060C30:(C2^2xC4)480,1197
C302(C22×C4) = S3×C2×C4×D5φ: C22×C4/C4C22 ⊆ Aut C30120C30:2(C2^2xC4)480,1086
C303(C22×C4) = C23×C3⋊F5φ: C22×C4/C22C4 ⊆ Aut C30120C30:3(C2^2xC4)480,1206
C304(C22×C4) = F5×C22×C6φ: C22×C4/C22C4 ⊆ Aut C30120C30:4(C2^2xC4)480,1205
C305(C22×C4) = C22×D5×Dic3φ: C22×C4/C22C22 ⊆ Aut C30240C30:5(C2^2xC4)480,1112
C306(C22×C4) = C22×S3×Dic5φ: C22×C4/C22C22 ⊆ Aut C30240C30:6(C2^2xC4)480,1115
C307(C22×C4) = C22×D30.C2φ: C22×C4/C22C22 ⊆ Aut C30240C30:7(C2^2xC4)480,1117
C308(C22×C4) = C22×C4×D15φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30:8(C2^2xC4)480,1166
C309(C22×C4) = D5×C22×C12φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30:9(C2^2xC4)480,1136
C3010(C22×C4) = S3×C22×C20φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30:10(C2^2xC4)480,1151
C3011(C22×C4) = C23×Dic15φ: C22×C4/C23C2 ⊆ Aut C30480C30:11(C2^2xC4)480,1178
C3012(C22×C4) = Dic5×C22×C6φ: C22×C4/C23C2 ⊆ Aut C30480C30:12(C2^2xC4)480,1148
C3013(C22×C4) = Dic3×C22×C10φ: C22×C4/C23C2 ⊆ Aut C30480C30:13(C2^2xC4)480,1163

Non-split extensions G=N.Q with N=C30 and Q=C22×C4
extensionφ:Q→Aut NdρLabelID
C30.1(C22×C4) = F5×Dic6φ: C22×C4/C2C2×C4 ⊆ Aut C301208-C30.1(C2^2xC4)480,982
C30.2(C22×C4) = C4⋊F53S3φ: C22×C4/C2C2×C4 ⊆ Aut C301208C30.2(C2^2xC4)480,983
C30.3(C22×C4) = Dic65F5φ: C22×C4/C2C2×C4 ⊆ Aut C301208-C30.3(C2^2xC4)480,984
C30.4(C22×C4) = (C4×S3)⋊F5φ: C22×C4/C2C2×C4 ⊆ Aut C301208C30.4(C2^2xC4)480,985
C30.5(C22×C4) = S3×D5⋊C8φ: C22×C4/C2C2×C4 ⊆ Aut C301208C30.5(C2^2xC4)480,986
C30.6(C22×C4) = D12.2F5φ: C22×C4/C2C2×C4 ⊆ Aut C302408-C30.6(C2^2xC4)480,987
C30.7(C22×C4) = S3×C4.F5φ: C22×C4/C2C2×C4 ⊆ Aut C301208C30.7(C2^2xC4)480,988
C30.8(C22×C4) = D12.F5φ: C22×C4/C2C2×C4 ⊆ Aut C302408-C30.8(C2^2xC4)480,989
C30.9(C22×C4) = D60.C4φ: C22×C4/C2C2×C4 ⊆ Aut C302408+C30.9(C2^2xC4)480,990
C30.10(C22×C4) = D15⋊M4(2)φ: C22×C4/C2C2×C4 ⊆ Aut C301208C30.10(C2^2xC4)480,991
C30.11(C22×C4) = Dic6.F5φ: C22×C4/C2C2×C4 ⊆ Aut C302408+C30.11(C2^2xC4)480,992
C30.12(C22×C4) = C5⋊C8⋊D6φ: C22×C4/C2C2×C4 ⊆ Aut C301208C30.12(C2^2xC4)480,993
C30.13(C22×C4) = C4×S3×F5φ: C22×C4/C2C2×C4 ⊆ Aut C30608C30.13(C2^2xC4)480,994
C30.14(C22×C4) = F5×D12φ: C22×C4/C2C2×C4 ⊆ Aut C30608+C30.14(C2^2xC4)480,995
C30.15(C22×C4) = S3×C4⋊F5φ: C22×C4/C2C2×C4 ⊆ Aut C30608C30.15(C2^2xC4)480,996
C30.16(C22×C4) = D603C4φ: C22×C4/C2C2×C4 ⊆ Aut C30608+C30.16(C2^2xC4)480,997
C30.17(C22×C4) = C2×Dic3×F5φ: C22×C4/C2C2×C4 ⊆ Aut C30120C30.17(C2^2xC4)480,998
C30.18(C22×C4) = C22⋊F5.S3φ: C22×C4/C2C2×C4 ⊆ Aut C301208-C30.18(C2^2xC4)480,999
C30.19(C22×C4) = C2×D6⋊F5φ: C22×C4/C2C2×C4 ⊆ Aut C30120C30.19(C2^2xC4)480,1000
C30.20(C22×C4) = C2×Dic3⋊F5φ: C22×C4/C2C2×C4 ⊆ Aut C30120C30.20(C2^2xC4)480,1001
C30.21(C22×C4) = C2×S3×C5⋊C8φ: C22×C4/C2C2×C4 ⊆ Aut C30240C30.21(C2^2xC4)480,1002
C30.22(C22×C4) = C5⋊C8.D6φ: C22×C4/C2C2×C4 ⊆ Aut C302408C30.22(C2^2xC4)480,1003
C30.23(C22×C4) = S3×C22.F5φ: C22×C4/C2C2×C4 ⊆ Aut C301208-C30.23(C2^2xC4)480,1004
C30.24(C22×C4) = D15⋊C8⋊C2φ: C22×C4/C2C2×C4 ⊆ Aut C302408C30.24(C2^2xC4)480,1005
C30.25(C22×C4) = C2×D15⋊C8φ: C22×C4/C2C2×C4 ⊆ Aut C30240C30.25(C2^2xC4)480,1006
C30.26(C22×C4) = D152M4(2)φ: C22×C4/C2C2×C4 ⊆ Aut C301208+C30.26(C2^2xC4)480,1007
C30.27(C22×C4) = C2×D6.F5φ: C22×C4/C2C2×C4 ⊆ Aut C30240C30.27(C2^2xC4)480,1008
C30.28(C22×C4) = C2×Dic3.F5φ: C22×C4/C2C2×C4 ⊆ Aut C30240C30.28(C2^2xC4)480,1009
C30.29(C22×C4) = F5×C3⋊D4φ: C22×C4/C2C2×C4 ⊆ Aut C30608C30.29(C2^2xC4)480,1010
C30.30(C22×C4) = S3×C22⋊F5φ: C22×C4/C2C2×C4 ⊆ Aut C30608+C30.30(C2^2xC4)480,1011
C30.31(C22×C4) = C3⋊D4⋊F5φ: C22×C4/C2C2×C4 ⊆ Aut C30608C30.31(C2^2xC4)480,1012
C30.32(C22×C4) = S3×C8×D5φ: C22×C4/C4C22 ⊆ Aut C301204C30.32(C2^2xC4)480,319
C30.33(C22×C4) = D5×C8⋊S3φ: C22×C4/C4C22 ⊆ Aut C301204C30.33(C2^2xC4)480,320
C30.34(C22×C4) = S3×C8⋊D5φ: C22×C4/C4C22 ⊆ Aut C301204C30.34(C2^2xC4)480,321
C30.35(C22×C4) = C40⋊D6φ: C22×C4/C4C22 ⊆ Aut C301204C30.35(C2^2xC4)480,322
C30.36(C22×C4) = C40.54D6φ: C22×C4/C4C22 ⊆ Aut C302404C30.36(C2^2xC4)480,341
C30.37(C22×C4) = C40.34D6φ: C22×C4/C4C22 ⊆ Aut C302404C30.37(C2^2xC4)480,342
C30.38(C22×C4) = C40.55D6φ: C22×C4/C4C22 ⊆ Aut C302404C30.38(C2^2xC4)480,343
C30.39(C22×C4) = C40.35D6φ: C22×C4/C4C22 ⊆ Aut C302404C30.39(C2^2xC4)480,344
C30.40(C22×C4) = Dic55Dic6φ: C22×C4/C4C22 ⊆ Aut C30480C30.40(C2^2xC4)480,399
C30.41(C22×C4) = Dic35Dic10φ: C22×C4/C4C22 ⊆ Aut C30480C30.41(C2^2xC4)480,400
C30.42(C22×C4) = Dic155Q8φ: C22×C4/C4C22 ⊆ Aut C30480C30.42(C2^2xC4)480,401
C30.43(C22×C4) = C4×D5×Dic3φ: C22×C4/C4C22 ⊆ Aut C30240C30.43(C2^2xC4)480,467
C30.44(C22×C4) = D5×Dic3⋊C4φ: C22×C4/C4C22 ⊆ Aut C30240C30.44(C2^2xC4)480,468
C30.45(C22×C4) = (D5×Dic3)⋊C4φ: C22×C4/C4C22 ⊆ Aut C30240C30.45(C2^2xC4)480,469
C30.46(C22×C4) = D10.19(C4×S3)φ: C22×C4/C4C22 ⊆ Aut C30240C30.46(C2^2xC4)480,470
C30.47(C22×C4) = Dic34D20φ: C22×C4/C4C22 ⊆ Aut C30240C30.47(C2^2xC4)480,471
C30.48(C22×C4) = Dic1513D4φ: C22×C4/C4C22 ⊆ Aut C30240C30.48(C2^2xC4)480,472
C30.49(C22×C4) = C4×S3×Dic5φ: C22×C4/C4C22 ⊆ Aut C30240C30.49(C2^2xC4)480,473
C30.50(C22×C4) = D6.(C4×D5)φ: C22×C4/C4C22 ⊆ Aut C30240C30.50(C2^2xC4)480,474
C30.51(C22×C4) = S3×C10.D4φ: C22×C4/C4C22 ⊆ Aut C30240C30.51(C2^2xC4)480,475
C30.52(C22×C4) = (S3×Dic5)⋊C4φ: C22×C4/C4C22 ⊆ Aut C30240C30.52(C2^2xC4)480,476
C30.53(C22×C4) = D30.C2⋊C4φ: C22×C4/C4C22 ⊆ Aut C30240C30.53(C2^2xC4)480,478
C30.54(C22×C4) = D30.23(C2×C4)φ: C22×C4/C4C22 ⊆ Aut C30240C30.54(C2^2xC4)480,479
C30.55(C22×C4) = D30.Q8φ: C22×C4/C4C22 ⊆ Aut C30240C30.55(C2^2xC4)480,480
C30.56(C22×C4) = Dic54D12φ: C22×C4/C4C22 ⊆ Aut C30240C30.56(C2^2xC4)480,481
C30.57(C22×C4) = Dic1514D4φ: C22×C4/C4C22 ⊆ Aut C30240C30.57(C2^2xC4)480,482
C30.58(C22×C4) = C4×C15⋊D4φ: C22×C4/C4C22 ⊆ Aut C30240C30.58(C2^2xC4)480,515
C30.59(C22×C4) = D6⋊(C4×D5)φ: C22×C4/C4C22 ⊆ Aut C30240C30.59(C2^2xC4)480,516
C30.60(C22×C4) = C1517(C4×D4)φ: C22×C4/C4C22 ⊆ Aut C30240C30.60(C2^2xC4)480,517
C30.61(C22×C4) = Dic159D4φ: C22×C4/C4C22 ⊆ Aut C30240C30.61(C2^2xC4)480,518
C30.62(C22×C4) = C4×C3⋊D20φ: C22×C4/C4C22 ⊆ Aut C30240C30.62(C2^2xC4)480,519
C30.63(C22×C4) = C1520(C4×D4)φ: C22×C4/C4C22 ⊆ Aut C30240C30.63(C2^2xC4)480,520
C30.64(C22×C4) = C4×C5⋊D12φ: C22×C4/C4C22 ⊆ Aut C30240C30.64(C2^2xC4)480,521
C30.65(C22×C4) = C1522(C4×D4)φ: C22×C4/C4C22 ⊆ Aut C30240C30.65(C2^2xC4)480,522
C30.66(C22×C4) = C4×C15⋊Q8φ: C22×C4/C4C22 ⊆ Aut C30480C30.66(C2^2xC4)480,543
C30.67(C22×C4) = D5×D6⋊C4φ: C22×C4/C4C22 ⊆ Aut C30120C30.67(C2^2xC4)480,547
C30.68(C22×C4) = S3×D10⋊C4φ: C22×C4/C4C22 ⊆ Aut C30120C30.68(C2^2xC4)480,548
C30.69(C22×C4) = D30.27D4φ: C22×C4/C4C22 ⊆ Aut C30120C30.69(C2^2xC4)480,549
C30.70(C22×C4) = C2×C60.C4φ: C22×C4/C22C4 ⊆ Aut C30240C30.70(C2^2xC4)480,1060
C30.71(C22×C4) = C2×C12.F5φ: C22×C4/C22C4 ⊆ Aut C30240C30.71(C2^2xC4)480,1061
C30.72(C22×C4) = C60.59(C2×C4)φ: C22×C4/C22C4 ⊆ Aut C301204C30.72(C2^2xC4)480,1062
C30.73(C22×C4) = C2×C4×C3⋊F5φ: C22×C4/C22C4 ⊆ Aut C30120C30.73(C2^2xC4)480,1063
C30.74(C22×C4) = C2×C60⋊C4φ: C22×C4/C22C4 ⊆ Aut C30120C30.74(C2^2xC4)480,1064
C30.75(C22×C4) = (C2×C12)⋊6F5φ: C22×C4/C22C4 ⊆ Aut C301204C30.75(C2^2xC4)480,1065
C30.76(C22×C4) = Dic10.Dic3φ: C22×C4/C22C4 ⊆ Aut C302408C30.76(C2^2xC4)480,1066
C30.77(C22×C4) = D4×C3⋊F5φ: C22×C4/C22C4 ⊆ Aut C30608C30.77(C2^2xC4)480,1067
C30.78(C22×C4) = D20.Dic3φ: C22×C4/C22C4 ⊆ Aut C302408C30.78(C2^2xC4)480,1068
C30.79(C22×C4) = Q8×C3⋊F5φ: C22×C4/C22C4 ⊆ Aut C301208C30.79(C2^2xC4)480,1069
C30.80(C22×C4) = C22×C15⋊C8φ: C22×C4/C22C4 ⊆ Aut C30480C30.80(C2^2xC4)480,1070
C30.81(C22×C4) = C2×C158M4(2)φ: C22×C4/C22C4 ⊆ Aut C30240C30.81(C2^2xC4)480,1071
C30.82(C22×C4) = C2×D10.D6φ: C22×C4/C22C4 ⊆ Aut C30120C30.82(C2^2xC4)480,1072
C30.83(C22×C4) = C6×D5⋊C8φ: C22×C4/C22C4 ⊆ Aut C30240C30.83(C2^2xC4)480,1047
C30.84(C22×C4) = C6×C4.F5φ: C22×C4/C22C4 ⊆ Aut C30240C30.84(C2^2xC4)480,1048
C30.85(C22×C4) = C3×D5⋊M4(2)φ: C22×C4/C22C4 ⊆ Aut C301204C30.85(C2^2xC4)480,1049
C30.86(C22×C4) = F5×C2×C12φ: C22×C4/C22C4 ⊆ Aut C30120C30.86(C2^2xC4)480,1050
C30.87(C22×C4) = C6×C4⋊F5φ: C22×C4/C22C4 ⊆ Aut C30120C30.87(C2^2xC4)480,1051
C30.88(C22×C4) = C3×D10.C23φ: C22×C4/C22C4 ⊆ Aut C301204C30.88(C2^2xC4)480,1052
C30.89(C22×C4) = C3×D4.F5φ: C22×C4/C22C4 ⊆ Aut C302408C30.89(C2^2xC4)480,1053
C30.90(C22×C4) = C3×D4×F5φ: C22×C4/C22C4 ⊆ Aut C30608C30.90(C2^2xC4)480,1054
C30.91(C22×C4) = C3×Q8.F5φ: C22×C4/C22C4 ⊆ Aut C302408C30.91(C2^2xC4)480,1055
C30.92(C22×C4) = C3×Q8×F5φ: C22×C4/C22C4 ⊆ Aut C301208C30.92(C2^2xC4)480,1056
C30.93(C22×C4) = C2×C6×C5⋊C8φ: C22×C4/C22C4 ⊆ Aut C30480C30.93(C2^2xC4)480,1057
C30.94(C22×C4) = C6×C22.F5φ: C22×C4/C22C4 ⊆ Aut C30240C30.94(C2^2xC4)480,1058
C30.95(C22×C4) = C6×C22⋊F5φ: C22×C4/C22C4 ⊆ Aut C30120C30.95(C2^2xC4)480,1059
C30.96(C22×C4) = C2×D5×C3⋊C8φ: C22×C4/C22C22 ⊆ Aut C30240C30.96(C2^2xC4)480,357
C30.97(C22×C4) = D5×C4.Dic3φ: C22×C4/C22C22 ⊆ Aut C301204C30.97(C2^2xC4)480,358
C30.98(C22×C4) = D20.3Dic3φ: C22×C4/C22C22 ⊆ Aut C302404C30.98(C2^2xC4)480,359
C30.99(C22×C4) = D20.2Dic3φ: C22×C4/C22C22 ⊆ Aut C302404C30.99(C2^2xC4)480,360
C30.100(C22×C4) = C2×S3×C52C8φ: C22×C4/C22C22 ⊆ Aut C30240C30.100(C2^2xC4)480,361
C30.101(C22×C4) = D12.2Dic5φ: C22×C4/C22C22 ⊆ Aut C302404C30.101(C2^2xC4)480,362
C30.102(C22×C4) = S3×C4.Dic5φ: C22×C4/C22C22 ⊆ Aut C301204C30.102(C2^2xC4)480,363
C30.103(C22×C4) = D12.Dic5φ: C22×C4/C22C22 ⊆ Aut C302404C30.103(C2^2xC4)480,364
C30.104(C22×C4) = C2×D152C8φ: C22×C4/C22C22 ⊆ Aut C30240C30.104(C2^2xC4)480,365
C30.105(C22×C4) = D60.5C4φ: C22×C4/C22C22 ⊆ Aut C302404C30.105(C2^2xC4)480,366
C30.106(C22×C4) = D60.4C4φ: C22×C4/C22C22 ⊆ Aut C302404C30.106(C2^2xC4)480,367
C30.107(C22×C4) = D154M4(2)φ: C22×C4/C22C22 ⊆ Aut C301204C30.107(C2^2xC4)480,368
C30.108(C22×C4) = C2×C20.32D6φ: C22×C4/C22C22 ⊆ Aut C30240C30.108(C2^2xC4)480,369
C30.109(C22×C4) = C2×D6.Dic5φ: C22×C4/C22C22 ⊆ Aut C30240C30.109(C2^2xC4)480,370
C30.110(C22×C4) = C2×D30.5C4φ: C22×C4/C22C22 ⊆ Aut C30240C30.110(C2^2xC4)480,371
C30.111(C22×C4) = Dic3×Dic10φ: C22×C4/C22C22 ⊆ Aut C30480C30.111(C2^2xC4)480,406
C30.112(C22×C4) = Dic156Q8φ: C22×C4/C22C22 ⊆ Aut C30480C30.112(C2^2xC4)480,407
C30.113(C22×C4) = Dic5×Dic6φ: C22×C4/C22C22 ⊆ Aut C30480C30.113(C2^2xC4)480,408
C30.114(C22×C4) = Dic3017C4φ: C22×C4/C22C22 ⊆ Aut C30480C30.114(C2^2xC4)480,409
C30.115(C22×C4) = (S3×C20)⋊5C4φ: C22×C4/C22C22 ⊆ Aut C30240C30.115(C2^2xC4)480,414
C30.116(C22×C4) = Dic3014C4φ: C22×C4/C22C22 ⊆ Aut C30480C30.116(C2^2xC4)480,416
C30.117(C22×C4) = Dic157Q8φ: C22×C4/C22C22 ⊆ Aut C30480C30.117(C2^2xC4)480,420
C30.118(C22×C4) = (C4×D15)⋊8C4φ: C22×C4/C22C22 ⊆ Aut C30240C30.118(C2^2xC4)480,423
C30.119(C22×C4) = (D5×C12)⋊C4φ: C22×C4/C22C22 ⊆ Aut C30240C30.119(C2^2xC4)480,433
C30.120(C22×C4) = (C4×D5)⋊Dic3φ: C22×C4/C22C22 ⊆ Aut C30240C30.120(C2^2xC4)480,434
C30.121(C22×C4) = (S3×C20)⋊7C4φ: C22×C4/C22C22 ⊆ Aut C30240C30.121(C2^2xC4)480,447
C30.122(C22×C4) = (C4×D15)⋊10C4φ: C22×C4/C22C22 ⊆ Aut C30240C30.122(C2^2xC4)480,462
C30.123(C22×C4) = C4×D30.C2φ: C22×C4/C22C22 ⊆ Aut C30240C30.123(C2^2xC4)480,477
C30.124(C22×C4) = D5×C4⋊Dic3φ: C22×C4/C22C22 ⊆ Aut C30240C30.124(C2^2xC4)480,488
C30.125(C22×C4) = Dic5×D12φ: C22×C4/C22C22 ⊆ Aut C30240C30.125(C2^2xC4)480,491
C30.126(C22×C4) = D6017C4φ: C22×C4/C22C22 ⊆ Aut C30240C30.126(C2^2xC4)480,494
C30.127(C22×C4) = Dic3×D20φ: C22×C4/C22C22 ⊆ Aut C30240C30.127(C2^2xC4)480,501
C30.128(C22×C4) = S3×C4⋊Dic5φ: C22×C4/C22C22 ⊆ Aut C30240C30.128(C2^2xC4)480,502
C30.129(C22×C4) = D6014C4φ: C22×C4/C22C22 ⊆ Aut C30240C30.129(C2^2xC4)480,504
C30.130(C22×C4) = D208Dic3φ: C22×C4/C22C22 ⊆ Aut C30240C30.130(C2^2xC4)480,510
C30.131(C22×C4) = Dic158D4φ: C22×C4/C22C22 ⊆ Aut C30240C30.131(C2^2xC4)480,511
C30.132(C22×C4) = D30.2Q8φ: C22×C4/C22C22 ⊆ Aut C30240C30.132(C2^2xC4)480,513
C30.133(C22×C4) = C2×Dic3×Dic5φ: C22×C4/C22C22 ⊆ Aut C30480C30.133(C2^2xC4)480,603
C30.134(C22×C4) = (C6×Dic5)⋊7C4φ: C22×C4/C22C22 ⊆ Aut C30240C30.134(C2^2xC4)480,604
C30.135(C22×C4) = C23.26(S3×D5)φ: C22×C4/C22C22 ⊆ Aut C30240C30.135(C2^2xC4)480,605
C30.136(C22×C4) = C23.48(S3×D5)φ: C22×C4/C22C22 ⊆ Aut C30240C30.136(C2^2xC4)480,608
C30.137(C22×C4) = C2×D10⋊Dic3φ: C22×C4/C22C22 ⊆ Aut C30240C30.137(C2^2xC4)480,611
C30.138(C22×C4) = C2×D6⋊Dic5φ: C22×C4/C22C22 ⊆ Aut C30240C30.138(C2^2xC4)480,614
C30.139(C22×C4) = C2×D304C4φ: C22×C4/C22C22 ⊆ Aut C30240C30.139(C2^2xC4)480,616
C30.140(C22×C4) = C2×C30.Q8φ: C22×C4/C22C22 ⊆ Aut C30480C30.140(C2^2xC4)480,617
C30.141(C22×C4) = C2×Dic155C4φ: C22×C4/C22C22 ⊆ Aut C30480C30.141(C2^2xC4)480,620
C30.142(C22×C4) = C2×C6.Dic10φ: C22×C4/C22C22 ⊆ Aut C30480C30.142(C2^2xC4)480,621
C30.143(C22×C4) = D5×C6.D4φ: C22×C4/C22C22 ⊆ Aut C30120C30.143(C2^2xC4)480,623
C30.144(C22×C4) = Dic5×C3⋊D4φ: C22×C4/C22C22 ⊆ Aut C30240C30.144(C2^2xC4)480,627
C30.145(C22×C4) = C1526(C4×D4)φ: C22×C4/C22C22 ⊆ Aut C30240C30.145(C2^2xC4)480,628
C30.146(C22×C4) = Dic3×C5⋊D4φ: C22×C4/C22C22 ⊆ Aut C30240C30.146(C2^2xC4)480,629
C30.147(C22×C4) = S3×C23.D5φ: C22×C4/C22C22 ⊆ Aut C30120C30.147(C2^2xC4)480,630
C30.148(C22×C4) = C1528(C4×D4)φ: C22×C4/C22C22 ⊆ Aut C30240C30.148(C2^2xC4)480,632
C30.149(C22×C4) = Dic1516D4φ: C22×C4/C22C22 ⊆ Aut C30240C30.149(C2^2xC4)480,635
C30.150(C22×C4) = Dic1517D4φ: C22×C4/C22C22 ⊆ Aut C30240C30.150(C2^2xC4)480,636
C30.151(C22×C4) = D30.45D4φ: C22×C4/C22C22 ⊆ Aut C30120C30.151(C2^2xC4)480,637
C30.152(C22×C4) = C4×Dic30φ: C22×C4/C2×C4C2 ⊆ Aut C30480C30.152(C2^2xC4)480,833
C30.153(C22×C4) = C42×D15φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.153(C2^2xC4)480,836
C30.154(C22×C4) = C422D15φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.154(C2^2xC4)480,837
C30.155(C22×C4) = C4×D60φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.155(C2^2xC4)480,838
C30.156(C22×C4) = C23.15D30φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.156(C2^2xC4)480,842
C30.157(C22×C4) = C22⋊C4×D15φ: C22×C4/C2×C4C2 ⊆ Aut C30120C30.157(C2^2xC4)480,845
C30.158(C22×C4) = Dic1519D4φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.158(C2^2xC4)480,846
C30.159(C22×C4) = Dic1510Q8φ: C22×C4/C2×C4C2 ⊆ Aut C30480C30.159(C2^2xC4)480,852
C30.160(C22×C4) = C4⋊C4×D15φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.160(C2^2xC4)480,856
C30.161(C22×C4) = C4⋊C47D15φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.161(C2^2xC4)480,857
C30.162(C22×C4) = D6011C4φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.162(C2^2xC4)480,858
C30.163(C22×C4) = C2×C8×D15φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.163(C2^2xC4)480,864
C30.164(C22×C4) = C2×C40⋊S3φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.164(C2^2xC4)480,865
C30.165(C22×C4) = D60.6C4φ: C22×C4/C2×C4C2 ⊆ Aut C302402C30.165(C2^2xC4)480,866
C30.166(C22×C4) = M4(2)×D15φ: C22×C4/C2×C4C2 ⊆ Aut C301204C30.166(C2^2xC4)480,871
C30.167(C22×C4) = D60.3C4φ: C22×C4/C2×C4C2 ⊆ Aut C302404C30.167(C2^2xC4)480,872
C30.168(C22×C4) = C2×C4×Dic15φ: C22×C4/C2×C4C2 ⊆ Aut C30480C30.168(C2^2xC4)480,887
C30.169(C22×C4) = C2×C30.4Q8φ: C22×C4/C2×C4C2 ⊆ Aut C30480C30.169(C2^2xC4)480,888
C30.170(C22×C4) = C2×D303C4φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.170(C2^2xC4)480,892
C30.171(C22×C4) = C4×C157D4φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.171(C2^2xC4)480,893
C30.172(C22×C4) = C12×Dic10φ: C22×C4/C2×C4C2 ⊆ Aut C30480C30.172(C2^2xC4)480,661
C30.173(C22×C4) = D5×C4×C12φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.173(C2^2xC4)480,664
C30.174(C22×C4) = C3×C42⋊D5φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.174(C2^2xC4)480,665
C30.175(C22×C4) = C12×D20φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.175(C2^2xC4)480,666
C30.176(C22×C4) = C3×C23.11D10φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.176(C2^2xC4)480,670
C30.177(C22×C4) = C3×D5×C22⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C30120C30.177(C2^2xC4)480,673
C30.178(C22×C4) = C3×Dic54D4φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.178(C2^2xC4)480,674
C30.179(C22×C4) = C3×Dic53Q8φ: C22×C4/C2×C4C2 ⊆ Aut C30480C30.179(C2^2xC4)480,680
C30.180(C22×C4) = C3×D5×C4⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.180(C2^2xC4)480,684
C30.181(C22×C4) = C3×C4⋊C47D5φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.181(C2^2xC4)480,685
C30.182(C22×C4) = C3×D208C4φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.182(C2^2xC4)480,686
C30.183(C22×C4) = D5×C2×C24φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.183(C2^2xC4)480,692
C30.184(C22×C4) = C6×C8⋊D5φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.184(C2^2xC4)480,693
C30.185(C22×C4) = C3×D20.3C4φ: C22×C4/C2×C4C2 ⊆ Aut C302402C30.185(C2^2xC4)480,694
C30.186(C22×C4) = C3×D5×M4(2)φ: C22×C4/C2×C4C2 ⊆ Aut C301204C30.186(C2^2xC4)480,699
C30.187(C22×C4) = C3×D20.2C4φ: C22×C4/C2×C4C2 ⊆ Aut C302404C30.187(C2^2xC4)480,700
C30.188(C22×C4) = Dic5×C2×C12φ: C22×C4/C2×C4C2 ⊆ Aut C30480C30.188(C2^2xC4)480,715
C30.189(C22×C4) = C6×C10.D4φ: C22×C4/C2×C4C2 ⊆ Aut C30480C30.189(C2^2xC4)480,716
C30.190(C22×C4) = C6×D10⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.190(C2^2xC4)480,720
C30.191(C22×C4) = C12×C5⋊D4φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.191(C2^2xC4)480,721
C30.192(C22×C4) = C20×Dic6φ: C22×C4/C2×C4C2 ⊆ Aut C30480C30.192(C2^2xC4)480,747
C30.193(C22×C4) = S3×C4×C20φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.193(C2^2xC4)480,750
C30.194(C22×C4) = C5×C422S3φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.194(C2^2xC4)480,751
C30.195(C22×C4) = C20×D12φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.195(C2^2xC4)480,752
C30.196(C22×C4) = C5×C23.16D6φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.196(C2^2xC4)480,756
C30.197(C22×C4) = C5×S3×C22⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C30120C30.197(C2^2xC4)480,759
C30.198(C22×C4) = C5×Dic34D4φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.198(C2^2xC4)480,760
C30.199(C22×C4) = C5×Dic6⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C30480C30.199(C2^2xC4)480,766
C30.200(C22×C4) = C5×S3×C4⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.200(C2^2xC4)480,770
C30.201(C22×C4) = C5×C4⋊C47S3φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.201(C2^2xC4)480,771
C30.202(C22×C4) = C5×Dic35D4φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.202(C2^2xC4)480,772
C30.203(C22×C4) = S3×C2×C40φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.203(C2^2xC4)480,778
C30.204(C22×C4) = C10×C8⋊S3φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.204(C2^2xC4)480,779
C30.205(C22×C4) = C5×C8○D12φ: C22×C4/C2×C4C2 ⊆ Aut C302402C30.205(C2^2xC4)480,780
C30.206(C22×C4) = C5×S3×M4(2)φ: C22×C4/C2×C4C2 ⊆ Aut C301204C30.206(C2^2xC4)480,785
C30.207(C22×C4) = C5×D12.C4φ: C22×C4/C2×C4C2 ⊆ Aut C302404C30.207(C2^2xC4)480,786
C30.208(C22×C4) = C10×Dic3⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C30480C30.208(C2^2xC4)480,802
C30.209(C22×C4) = C10×D6⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.209(C2^2xC4)480,806
C30.210(C22×C4) = C20×C3⋊D4φ: C22×C4/C2×C4C2 ⊆ Aut C30240C30.210(C2^2xC4)480,807
C30.211(C22×C4) = C22×C153C8φ: C22×C4/C23C2 ⊆ Aut C30480C30.211(C2^2xC4)480,885
C30.212(C22×C4) = C2×C60.7C4φ: C22×C4/C23C2 ⊆ Aut C30240C30.212(C2^2xC4)480,886
C30.213(C22×C4) = C2×C605C4φ: C22×C4/C23C2 ⊆ Aut C30480C30.213(C2^2xC4)480,890
C30.214(C22×C4) = C23.26D30φ: C22×C4/C23C2 ⊆ Aut C30240C30.214(C2^2xC4)480,891
C30.215(C22×C4) = D4×Dic15φ: C22×C4/C23C2 ⊆ Aut C30240C30.215(C2^2xC4)480,899
C30.216(C22×C4) = Q8×Dic15φ: C22×C4/C23C2 ⊆ Aut C30480C30.216(C2^2xC4)480,910
C30.217(C22×C4) = D4.Dic15φ: C22×C4/C23C2 ⊆ Aut C302404C30.217(C2^2xC4)480,913
C30.218(C22×C4) = C2×C30.38D4φ: C22×C4/C23C2 ⊆ Aut C30240C30.218(C2^2xC4)480,917
C30.219(C22×C4) = C2×C6×C52C8φ: C22×C4/C23C2 ⊆ Aut C30480C30.219(C2^2xC4)480,713
C30.220(C22×C4) = C6×C4.Dic5φ: C22×C4/C23C2 ⊆ Aut C30240C30.220(C2^2xC4)480,714
C30.221(C22×C4) = C6×C4⋊Dic5φ: C22×C4/C23C2 ⊆ Aut C30480C30.221(C2^2xC4)480,718
C30.222(C22×C4) = C3×C23.21D10φ: C22×C4/C23C2 ⊆ Aut C30240C30.222(C2^2xC4)480,719
C30.223(C22×C4) = C3×D4×Dic5φ: C22×C4/C23C2 ⊆ Aut C30240C30.223(C2^2xC4)480,727
C30.224(C22×C4) = C3×Q8×Dic5φ: C22×C4/C23C2 ⊆ Aut C30480C30.224(C2^2xC4)480,738
C30.225(C22×C4) = C3×D4.Dic5φ: C22×C4/C23C2 ⊆ Aut C302404C30.225(C2^2xC4)480,741
C30.226(C22×C4) = C6×C23.D5φ: C22×C4/C23C2 ⊆ Aut C30240C30.226(C2^2xC4)480,745
C30.227(C22×C4) = C2×C10×C3⋊C8φ: C22×C4/C23C2 ⊆ Aut C30480C30.227(C2^2xC4)480,799
C30.228(C22×C4) = C10×C4.Dic3φ: C22×C4/C23C2 ⊆ Aut C30240C30.228(C2^2xC4)480,800
C30.229(C22×C4) = Dic3×C2×C20φ: C22×C4/C23C2 ⊆ Aut C30480C30.229(C2^2xC4)480,801
C30.230(C22×C4) = C10×C4⋊Dic3φ: C22×C4/C23C2 ⊆ Aut C30480C30.230(C2^2xC4)480,804
C30.231(C22×C4) = C5×C23.26D6φ: C22×C4/C23C2 ⊆ Aut C30240C30.231(C2^2xC4)480,805
C30.232(C22×C4) = C5×D4×Dic3φ: C22×C4/C23C2 ⊆ Aut C30240C30.232(C2^2xC4)480,813
C30.233(C22×C4) = C5×Q8×Dic3φ: C22×C4/C23C2 ⊆ Aut C30480C30.233(C2^2xC4)480,824
C30.234(C22×C4) = C5×D4.Dic3φ: C22×C4/C23C2 ⊆ Aut C302404C30.234(C2^2xC4)480,827
C30.235(C22×C4) = C10×C6.D4φ: C22×C4/C23C2 ⊆ Aut C30240C30.235(C2^2xC4)480,831
C30.236(C22×C4) = C22⋊C4×C30central extension (φ=1)240C30.236(C2^2xC4)480,920
C30.237(C22×C4) = C4⋊C4×C30central extension (φ=1)480C30.237(C2^2xC4)480,921
C30.238(C22×C4) = C15×C42⋊C2central extension (φ=1)240C30.238(C2^2xC4)480,922
C30.239(C22×C4) = D4×C60central extension (φ=1)240C30.239(C2^2xC4)480,923
C30.240(C22×C4) = Q8×C60central extension (φ=1)480C30.240(C2^2xC4)480,924
C30.241(C22×C4) = M4(2)×C30central extension (φ=1)240C30.241(C2^2xC4)480,935
C30.242(C22×C4) = C15×C8○D4central extension (φ=1)2402C30.242(C2^2xC4)480,936

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