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Extensions 1→N→G→Q→1 with N=C6 and Q=C22xF5

Direct product G=NxQ with N=C6 and Q=C22xF5
dρLabelID
F5xC22xC6120F5xC2^2xC6480,1205

Semidirect products G=N:Q with N=C6 and Q=C22xF5
extensionφ:Q→Aut NdρLabelID
C6:1(C22xF5) = C22xS3xF5φ: C22xF5/C2xF5 → C2 ⊆ Aut C660C6:1(C2^2xF5)480,1197
C6:2(C22xF5) = C23xC3:F5φ: C22xF5/C22xD5 → C2 ⊆ Aut C6120C6:2(C2^2xF5)480,1206

Non-split extensions G=N.Q with N=C6 and Q=C22xF5
extensionφ:Q→Aut NdρLabelID
C6.1(C22xF5) = F5xDic6φ: C22xF5/C2xF5 → C2 ⊆ Aut C61208-C6.1(C2^2xF5)480,982
C6.2(C22xF5) = C4:F5:3S3φ: C22xF5/C2xF5 → C2 ⊆ Aut C61208C6.2(C2^2xF5)480,983
C6.3(C22xF5) = Dic6:5F5φ: C22xF5/C2xF5 → C2 ⊆ Aut C61208-C6.3(C2^2xF5)480,984
C6.4(C22xF5) = (C4xS3):F5φ: C22xF5/C2xF5 → C2 ⊆ Aut C61208C6.4(C2^2xF5)480,985
C6.5(C22xF5) = S3xD5:C8φ: C22xF5/C2xF5 → C2 ⊆ Aut C61208C6.5(C2^2xF5)480,986
C6.6(C22xF5) = D12.2F5φ: C22xF5/C2xF5 → C2 ⊆ Aut C62408-C6.6(C2^2xF5)480,987
C6.7(C22xF5) = S3xC4.F5φ: C22xF5/C2xF5 → C2 ⊆ Aut C61208C6.7(C2^2xF5)480,988
C6.8(C22xF5) = D12.F5φ: C22xF5/C2xF5 → C2 ⊆ Aut C62408-C6.8(C2^2xF5)480,989
C6.9(C22xF5) = D60.C4φ: C22xF5/C2xF5 → C2 ⊆ Aut C62408+C6.9(C2^2xF5)480,990
C6.10(C22xF5) = D15:M4(2)φ: C22xF5/C2xF5 → C2 ⊆ Aut C61208C6.10(C2^2xF5)480,991
C6.11(C22xF5) = Dic6.F5φ: C22xF5/C2xF5 → C2 ⊆ Aut C62408+C6.11(C2^2xF5)480,992
C6.12(C22xF5) = C5:C8:D6φ: C22xF5/C2xF5 → C2 ⊆ Aut C61208C6.12(C2^2xF5)480,993
C6.13(C22xF5) = C4xS3xF5φ: C22xF5/C2xF5 → C2 ⊆ Aut C6608C6.13(C2^2xF5)480,994
C6.14(C22xF5) = F5xD12φ: C22xF5/C2xF5 → C2 ⊆ Aut C6608+C6.14(C2^2xF5)480,995
C6.15(C22xF5) = S3xC4:F5φ: C22xF5/C2xF5 → C2 ⊆ Aut C6608C6.15(C2^2xF5)480,996
C6.16(C22xF5) = D60:3C4φ: C22xF5/C2xF5 → C2 ⊆ Aut C6608+C6.16(C2^2xF5)480,997
C6.17(C22xF5) = C2xDic3xF5φ: C22xF5/C2xF5 → C2 ⊆ Aut C6120C6.17(C2^2xF5)480,998
C6.18(C22xF5) = C22:F5.S3φ: C22xF5/C2xF5 → C2 ⊆ Aut C61208-C6.18(C2^2xF5)480,999
C6.19(C22xF5) = C2xD6:F5φ: C22xF5/C2xF5 → C2 ⊆ Aut C6120C6.19(C2^2xF5)480,1000
C6.20(C22xF5) = C2xDic3:F5φ: C22xF5/C2xF5 → C2 ⊆ Aut C6120C6.20(C2^2xF5)480,1001
C6.21(C22xF5) = C2xS3xC5:C8φ: C22xF5/C2xF5 → C2 ⊆ Aut C6240C6.21(C2^2xF5)480,1002
C6.22(C22xF5) = C5:C8.D6φ: C22xF5/C2xF5 → C2 ⊆ Aut C62408C6.22(C2^2xF5)480,1003
C6.23(C22xF5) = S3xC22.F5φ: C22xF5/C2xF5 → C2 ⊆ Aut C61208-C6.23(C2^2xF5)480,1004
C6.24(C22xF5) = D15:C8:C2φ: C22xF5/C2xF5 → C2 ⊆ Aut C62408C6.24(C2^2xF5)480,1005
C6.25(C22xF5) = C2xD15:C8φ: C22xF5/C2xF5 → C2 ⊆ Aut C6240C6.25(C2^2xF5)480,1006
C6.26(C22xF5) = D15:2M4(2)φ: C22xF5/C2xF5 → C2 ⊆ Aut C61208+C6.26(C2^2xF5)480,1007
C6.27(C22xF5) = C2xD6.F5φ: C22xF5/C2xF5 → C2 ⊆ Aut C6240C6.27(C2^2xF5)480,1008
C6.28(C22xF5) = C2xDic3.F5φ: C22xF5/C2xF5 → C2 ⊆ Aut C6240C6.28(C2^2xF5)480,1009
C6.29(C22xF5) = F5xC3:D4φ: C22xF5/C2xF5 → C2 ⊆ Aut C6608C6.29(C2^2xF5)480,1010
C6.30(C22xF5) = S3xC22:F5φ: C22xF5/C2xF5 → C2 ⊆ Aut C6608+C6.30(C2^2xF5)480,1011
C6.31(C22xF5) = C3:D4:F5φ: C22xF5/C2xF5 → C2 ⊆ Aut C6608C6.31(C2^2xF5)480,1012
C6.32(C22xF5) = C2xC60.C4φ: C22xF5/C22xD5 → C2 ⊆ Aut C6240C6.32(C2^2xF5)480,1060
C6.33(C22xF5) = C2xC12.F5φ: C22xF5/C22xD5 → C2 ⊆ Aut C6240C6.33(C2^2xF5)480,1061
C6.34(C22xF5) = C60.59(C2xC4)φ: C22xF5/C22xD5 → C2 ⊆ Aut C61204C6.34(C2^2xF5)480,1062
C6.35(C22xF5) = C2xC4xC3:F5φ: C22xF5/C22xD5 → C2 ⊆ Aut C6120C6.35(C2^2xF5)480,1063
C6.36(C22xF5) = C2xC60:C4φ: C22xF5/C22xD5 → C2 ⊆ Aut C6120C6.36(C2^2xF5)480,1064
C6.37(C22xF5) = (C2xC12):6F5φ: C22xF5/C22xD5 → C2 ⊆ Aut C61204C6.37(C2^2xF5)480,1065
C6.38(C22xF5) = Dic10.Dic3φ: C22xF5/C22xD5 → C2 ⊆ Aut C62408C6.38(C2^2xF5)480,1066
C6.39(C22xF5) = D4xC3:F5φ: C22xF5/C22xD5 → C2 ⊆ Aut C6608C6.39(C2^2xF5)480,1067
C6.40(C22xF5) = D20.Dic3φ: C22xF5/C22xD5 → C2 ⊆ Aut C62408C6.40(C2^2xF5)480,1068
C6.41(C22xF5) = Q8xC3:F5φ: C22xF5/C22xD5 → C2 ⊆ Aut C61208C6.41(C2^2xF5)480,1069
C6.42(C22xF5) = C22xC15:C8φ: C22xF5/C22xD5 → C2 ⊆ Aut C6480C6.42(C2^2xF5)480,1070
C6.43(C22xF5) = C2xC15:8M4(2)φ: C22xF5/C22xD5 → C2 ⊆ Aut C6240C6.43(C2^2xF5)480,1071
C6.44(C22xF5) = C2xD10.D6φ: C22xF5/C22xD5 → C2 ⊆ Aut C6120C6.44(C2^2xF5)480,1072
C6.45(C22xF5) = C6xD5:C8central extension (φ=1)240C6.45(C2^2xF5)480,1047
C6.46(C22xF5) = C6xC4.F5central extension (φ=1)240C6.46(C2^2xF5)480,1048
C6.47(C22xF5) = C3xD5:M4(2)central extension (φ=1)1204C6.47(C2^2xF5)480,1049
C6.48(C22xF5) = F5xC2xC12central extension (φ=1)120C6.48(C2^2xF5)480,1050
C6.49(C22xF5) = C6xC4:F5central extension (φ=1)120C6.49(C2^2xF5)480,1051
C6.50(C22xF5) = C3xD10.C23central extension (φ=1)1204C6.50(C2^2xF5)480,1052
C6.51(C22xF5) = C3xD4.F5central extension (φ=1)2408C6.51(C2^2xF5)480,1053
C6.52(C22xF5) = C3xD4xF5central extension (φ=1)608C6.52(C2^2xF5)480,1054
C6.53(C22xF5) = C3xQ8.F5central extension (φ=1)2408C6.53(C2^2xF5)480,1055
C6.54(C22xF5) = C3xQ8xF5central extension (φ=1)1208C6.54(C2^2xF5)480,1056
C6.55(C22xF5) = C2xC6xC5:C8central extension (φ=1)480C6.55(C2^2xF5)480,1057
C6.56(C22xF5) = C6xC22.F5central extension (φ=1)240C6.56(C2^2xF5)480,1058
C6.57(C22xF5) = C6xC22:F5central extension (φ=1)120C6.57(C2^2xF5)480,1059

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