Extensions 1→N→G→Q→1 with N=C8 and Q=C2×F5

Direct product G=N×Q with N=C8 and Q=C2×F5
dρLabelID
C2×C8×F580C2xC8xF5320,1054

Semidirect products G=N:Q with N=C8 and Q=C2×F5
extensionφ:Q→Aut NdρLabelID
C81(C2×F5) = M4(2)⋊1F5φ: C2×F5/D5C22 ⊆ Aut C8408C8:1(C2xF5)320,1065
C82(C2×F5) = D40⋊C4φ: C2×F5/D5C22 ⊆ Aut C8408+C8:2(C2xF5)320,1069
C83(C2×F5) = SD16⋊F5φ: C2×F5/D5C22 ⊆ Aut C8408C8:3(C2xF5)320,1073
C84(C2×F5) = D8×F5φ: C2×F5/F5C2 ⊆ Aut C8408+C8:4(C2xF5)320,1068
C85(C2×F5) = SD16×F5φ: C2×F5/F5C2 ⊆ Aut C8408C8:5(C2xF5)320,1072
C86(C2×F5) = M4(2)×F5φ: C2×F5/F5C2 ⊆ Aut C8408C8:6(C2xF5)320,1064
C87(C2×F5) = C2×D5.D8φ: C2×F5/D10C2 ⊆ Aut C880C8:7(C2xF5)320,1058
C88(C2×F5) = C2×C40⋊C4φ: C2×F5/D10C2 ⊆ Aut C880C8:8(C2xF5)320,1057
C89(C2×F5) = C2×C8⋊F5φ: C2×F5/D10C2 ⊆ Aut C880C8:9(C2xF5)320,1055

Non-split extensions G=N.Q with N=C8 and Q=C2×F5
extensionφ:Q→Aut NdρLabelID
C8.1(C2×F5) = D10.D8φ: C2×F5/D5C22 ⊆ Aut C8808-C8.1(C2xF5)320,241
C8.2(C2×F5) = D40.C4φ: C2×F5/D5C22 ⊆ Aut C8808+C8.2(C2xF5)320,244
C8.3(C2×F5) = D401C4φ: C2×F5/D5C22 ⊆ Aut C8808+C8.3(C2xF5)320,245
C8.4(C2×F5) = Dic20.C4φ: C2×F5/D5C22 ⊆ Aut C81608-C8.4(C2xF5)320,248
C8.5(C2×F5) = M4(2).1F5φ: C2×F5/D5C22 ⊆ Aut C8808C8.5(C2xF5)320,1067
C8.6(C2×F5) = D8⋊F5φ: C2×F5/D5C22 ⊆ Aut C8808-C8.6(C2xF5)320,1071
C8.7(C2×F5) = SD162F5φ: C2×F5/D5C22 ⊆ Aut C8808C8.7(C2xF5)320,1075
C8.8(C2×F5) = Dic20⋊C4φ: C2×F5/D5C22 ⊆ Aut C8808-C8.8(C2xF5)320,1077
C8.9(C2×F5) = Q16⋊F5φ: C2×F5/D5C22 ⊆ Aut C8808+C8.9(C2xF5)320,1079
C8.10(C2×F5) = D5.D16φ: C2×F5/F5C2 ⊆ Aut C8808+C8.10(C2xF5)320,242
C8.11(C2×F5) = D8.F5φ: C2×F5/F5C2 ⊆ Aut C81608-C8.11(C2xF5)320,243
C8.12(C2×F5) = D5.Q32φ: C2×F5/F5C2 ⊆ Aut C8808-C8.12(C2xF5)320,246
C8.13(C2×F5) = Q16.F5φ: C2×F5/F5C2 ⊆ Aut C81608+C8.13(C2xF5)320,247
C8.14(C2×F5) = D85F5φ: C2×F5/F5C2 ⊆ Aut C8808-C8.14(C2xF5)320,1070
C8.15(C2×F5) = Q16×F5φ: C2×F5/F5C2 ⊆ Aut C8808-C8.15(C2xF5)320,1076
C8.16(C2×F5) = Q165F5φ: C2×F5/F5C2 ⊆ Aut C8808+C8.16(C2xF5)320,1078
C8.17(C2×F5) = SD163F5φ: C2×F5/F5C2 ⊆ Aut C8808C8.17(C2xF5)320,1074
C8.18(C2×F5) = Dic10.C8φ: C2×F5/F5C2 ⊆ Aut C81608C8.18(C2xF5)320,1063
C8.19(C2×F5) = M4(2)⋊5F5φ: C2×F5/F5C2 ⊆ Aut C8808C8.19(C2xF5)320,1066
C8.20(C2×F5) = C802C4φ: C2×F5/D10C2 ⊆ Aut C8804C8.20(C2xF5)320,187
C8.21(C2×F5) = C803C4φ: C2×F5/D10C2 ⊆ Aut C8804C8.21(C2xF5)320,188
C8.22(C2×F5) = C16.F5φ: C2×F5/D10C2 ⊆ Aut C81604C8.22(C2xF5)320,189
C8.23(C2×F5) = C80.2C4φ: C2×F5/D10C2 ⊆ Aut C81604C8.23(C2xF5)320,190
C8.24(C2×F5) = C2×D10.Q8φ: C2×F5/D10C2 ⊆ Aut C8160C8.24(C2xF5)320,1061
C8.25(C2×F5) = C804C4φ: C2×F5/D10C2 ⊆ Aut C8804C8.25(C2xF5)320,185
C8.26(C2×F5) = C805C4φ: C2×F5/D10C2 ⊆ Aut C8804C8.26(C2xF5)320,186
C8.27(C2×F5) = (C2×C8)⋊6F5φ: C2×F5/D10C2 ⊆ Aut C8804C8.27(C2xF5)320,1059
C8.28(C2×F5) = C2×C40.C4φ: C2×F5/D10C2 ⊆ Aut C8160C8.28(C2xF5)320,1060
C8.29(C2×F5) = (C8×D5).C4φ: C2×F5/D10C2 ⊆ Aut C8804C8.29(C2xF5)320,1062
C8.30(C2×F5) = C16⋊F5φ: C2×F5/D10C2 ⊆ Aut C8804C8.30(C2xF5)320,183
C8.31(C2×F5) = C164F5φ: C2×F5/D10C2 ⊆ Aut C8804C8.31(C2xF5)320,184
C8.32(C2×F5) = C2×C8.F5φ: C2×F5/D10C2 ⊆ Aut C8160C8.32(C2xF5)320,1052
C8.33(C2×F5) = D5⋊M5(2)φ: C2×F5/D10C2 ⊆ Aut C8804C8.33(C2xF5)320,1053
C8.34(C2×F5) = C20.12C42φ: C2×F5/D10C2 ⊆ Aut C8804C8.34(C2xF5)320,1056
C8.35(C2×F5) = D5⋊C32central extension (φ=1)1604C8.35(C2xF5)320,179
C8.36(C2×F5) = C80.C4central extension (φ=1)1604C8.36(C2xF5)320,180
C8.37(C2×F5) = C16×F5central extension (φ=1)804C8.37(C2xF5)320,181
C8.38(C2×F5) = C167F5central extension (φ=1)804C8.38(C2xF5)320,182
C8.39(C2×F5) = C2×C5⋊C32central extension (φ=1)320C8.39(C2xF5)320,214
C8.40(C2×F5) = C5⋊M6(2)central extension (φ=1)1604C8.40(C2xF5)320,215
C8.41(C2×F5) = C2×D5⋊C16central extension (φ=1)160C8.41(C2xF5)320,1051

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