Extensions 1→N→G→Q→1 with N=C10 and Q=C2xD4

Direct product G=NxQ with N=C10 and Q=C2xD4
dρLabelID
D4xC2xC1080D4xC2xC10160,229

Semidirect products G=N:Q with N=C10 and Q=C2xD4
extensionφ:Q→Aut NdρLabelID
C10:1(C2xD4) = C22xD20φ: C2xD4/C2xC4C2 ⊆ Aut C1080C10:1(C2xD4)160,215
C10:2(C2xD4) = C2xD4xD5φ: C2xD4/D4C2 ⊆ Aut C1040C10:2(C2xD4)160,217
C10:3(C2xD4) = C22xC5:D4φ: C2xD4/C23C2 ⊆ Aut C1080C10:3(C2xD4)160,227

Non-split extensions G=N.Q with N=C10 and Q=C2xD4
extensionφ:Q→Aut NdρLabelID
C10.1(C2xD4) = C20:2Q8φ: C2xD4/C2xC4C2 ⊆ Aut C10160C10.1(C2xD4)160,90
C10.2(C2xD4) = C4xD20φ: C2xD4/C2xC4C2 ⊆ Aut C1080C10.2(C2xD4)160,94
C10.3(C2xD4) = C20:4D4φ: C2xD4/C2xC4C2 ⊆ Aut C1080C10.3(C2xD4)160,95
C10.4(C2xD4) = C4.D20φ: C2xD4/C2xC4C2 ⊆ Aut C1080C10.4(C2xD4)160,96
C10.5(C2xD4) = C22:D20φ: C2xD4/C2xC4C2 ⊆ Aut C1040C10.5(C2xD4)160,103
C10.6(C2xD4) = C22.D20φ: C2xD4/C2xC4C2 ⊆ Aut C1080C10.6(C2xD4)160,107
C10.7(C2xD4) = C4:D20φ: C2xD4/C2xC4C2 ⊆ Aut C1080C10.7(C2xD4)160,116
C10.8(C2xD4) = D10:2Q8φ: C2xD4/C2xC4C2 ⊆ Aut C1080C10.8(C2xD4)160,118
C10.9(C2xD4) = C2xC40:C2φ: C2xD4/C2xC4C2 ⊆ Aut C1080C10.9(C2xD4)160,123
C10.10(C2xD4) = C2xD40φ: C2xD4/C2xC4C2 ⊆ Aut C1080C10.10(C2xD4)160,124
C10.11(C2xD4) = D40:7C2φ: C2xD4/C2xC4C2 ⊆ Aut C10802C10.11(C2xD4)160,125
C10.12(C2xD4) = C2xDic20φ: C2xD4/C2xC4C2 ⊆ Aut C10160C10.12(C2xD4)160,126
C10.13(C2xD4) = C8:D10φ: C2xD4/C2xC4C2 ⊆ Aut C10404+C10.13(C2xD4)160,129
C10.14(C2xD4) = C8.D10φ: C2xD4/C2xC4C2 ⊆ Aut C10804-C10.14(C2xD4)160,130
C10.15(C2xD4) = C2xC4:Dic5φ: C2xD4/C2xC4C2 ⊆ Aut C10160C10.15(C2xD4)160,146
C10.16(C2xD4) = Dic5.14D4φ: C2xD4/D4C2 ⊆ Aut C1080C10.16(C2xD4)160,99
C10.17(C2xD4) = D5xC22:C4φ: C2xD4/D4C2 ⊆ Aut C1040C10.17(C2xD4)160,101
C10.18(C2xD4) = Dic5:4D4φ: C2xD4/D4C2 ⊆ Aut C1080C10.18(C2xD4)160,102
C10.19(C2xD4) = D10.12D4φ: C2xD4/D4C2 ⊆ Aut C1080C10.19(C2xD4)160,104
C10.20(C2xD4) = D10:D4φ: C2xD4/D4C2 ⊆ Aut C1080C10.20(C2xD4)160,105
C10.21(C2xD4) = Dic5.5D4φ: C2xD4/D4C2 ⊆ Aut C1080C10.21(C2xD4)160,106
C10.22(C2xD4) = C20:Q8φ: C2xD4/D4C2 ⊆ Aut C10160C10.22(C2xD4)160,109
C10.23(C2xD4) = D5xC4:C4φ: C2xD4/D4C2 ⊆ Aut C1080C10.23(C2xD4)160,112
C10.24(C2xD4) = D20:8C4φ: C2xD4/D4C2 ⊆ Aut C1080C10.24(C2xD4)160,114
C10.25(C2xD4) = D10.13D4φ: C2xD4/D4C2 ⊆ Aut C1080C10.25(C2xD4)160,115
C10.26(C2xD4) = D10:Q8φ: C2xD4/D4C2 ⊆ Aut C1080C10.26(C2xD4)160,117
C10.27(C2xD4) = D5xD8φ: C2xD4/D4C2 ⊆ Aut C10404+C10.27(C2xD4)160,131
C10.28(C2xD4) = D8:D5φ: C2xD4/D4C2 ⊆ Aut C10404C10.28(C2xD4)160,132
C10.29(C2xD4) = D8:3D5φ: C2xD4/D4C2 ⊆ Aut C10804-C10.29(C2xD4)160,133
C10.30(C2xD4) = D5xSD16φ: C2xD4/D4C2 ⊆ Aut C10404C10.30(C2xD4)160,134
C10.31(C2xD4) = D40:C2φ: C2xD4/D4C2 ⊆ Aut C10404+C10.31(C2xD4)160,135
C10.32(C2xD4) = SD16:D5φ: C2xD4/D4C2 ⊆ Aut C10804-C10.32(C2xD4)160,136
C10.33(C2xD4) = SD16:3D5φ: C2xD4/D4C2 ⊆ Aut C10804C10.33(C2xD4)160,137
C10.34(C2xD4) = D5xQ16φ: C2xD4/D4C2 ⊆ Aut C10804-C10.34(C2xD4)160,138
C10.35(C2xD4) = Q16:D5φ: C2xD4/D4C2 ⊆ Aut C10804C10.35(C2xD4)160,139
C10.36(C2xD4) = Q8.D10φ: C2xD4/D4C2 ⊆ Aut C10804+C10.36(C2xD4)160,140
C10.37(C2xD4) = D4xDic5φ: C2xD4/D4C2 ⊆ Aut C1080C10.37(C2xD4)160,155
C10.38(C2xD4) = C2xC10.D4φ: C2xD4/C23C2 ⊆ Aut C10160C10.38(C2xD4)160,144
C10.39(C2xD4) = C20.48D4φ: C2xD4/C23C2 ⊆ Aut C1080C10.39(C2xD4)160,145
C10.40(C2xD4) = C2xD10:C4φ: C2xD4/C23C2 ⊆ Aut C1080C10.40(C2xD4)160,148
C10.41(C2xD4) = C4xC5:D4φ: C2xD4/C23C2 ⊆ Aut C1080C10.41(C2xD4)160,149
C10.42(C2xD4) = C23.23D10φ: C2xD4/C23C2 ⊆ Aut C1080C10.42(C2xD4)160,150
C10.43(C2xD4) = C20:7D4φ: C2xD4/C23C2 ⊆ Aut C1080C10.43(C2xD4)160,151
C10.44(C2xD4) = C2xD4:D5φ: C2xD4/C23C2 ⊆ Aut C1080C10.44(C2xD4)160,152
C10.45(C2xD4) = D4.D10φ: C2xD4/C23C2 ⊆ Aut C10404C10.45(C2xD4)160,153
C10.46(C2xD4) = C2xD4.D5φ: C2xD4/C23C2 ⊆ Aut C1080C10.46(C2xD4)160,154
C10.47(C2xD4) = C23.18D10φ: C2xD4/C23C2 ⊆ Aut C1080C10.47(C2xD4)160,156
C10.48(C2xD4) = C20.17D4φ: C2xD4/C23C2 ⊆ Aut C1080C10.48(C2xD4)160,157
C10.49(C2xD4) = C23:D10φ: C2xD4/C23C2 ⊆ Aut C1040C10.49(C2xD4)160,158
C10.50(C2xD4) = C20:2D4φ: C2xD4/C23C2 ⊆ Aut C1080C10.50(C2xD4)160,159
C10.51(C2xD4) = Dic5:D4φ: C2xD4/C23C2 ⊆ Aut C1080C10.51(C2xD4)160,160
C10.52(C2xD4) = C20:D4φ: C2xD4/C23C2 ⊆ Aut C1080C10.52(C2xD4)160,161
C10.53(C2xD4) = C2xQ8:D5φ: C2xD4/C23C2 ⊆ Aut C1080C10.53(C2xD4)160,162
C10.54(C2xD4) = C20.C23φ: C2xD4/C23C2 ⊆ Aut C10804C10.54(C2xD4)160,163
C10.55(C2xD4) = C2xC5:Q16φ: C2xD4/C23C2 ⊆ Aut C10160C10.55(C2xD4)160,164
C10.56(C2xD4) = Dic5:Q8φ: C2xD4/C23C2 ⊆ Aut C10160C10.56(C2xD4)160,165
C10.57(C2xD4) = D10:3Q8φ: C2xD4/C23C2 ⊆ Aut C1080C10.57(C2xD4)160,167
C10.58(C2xD4) = C20.23D4φ: C2xD4/C23C2 ⊆ Aut C1080C10.58(C2xD4)160,168
C10.59(C2xD4) = D4:D10φ: C2xD4/C23C2 ⊆ Aut C10404+C10.59(C2xD4)160,170
C10.60(C2xD4) = D4.8D10φ: C2xD4/C23C2 ⊆ Aut C10804C10.60(C2xD4)160,171
C10.61(C2xD4) = D4.9D10φ: C2xD4/C23C2 ⊆ Aut C10804-C10.61(C2xD4)160,172
C10.62(C2xD4) = C2xC23.D5φ: C2xD4/C23C2 ⊆ Aut C1080C10.62(C2xD4)160,173
C10.63(C2xD4) = C24:2D5φ: C2xD4/C23C2 ⊆ Aut C1040C10.63(C2xD4)160,174
C10.64(C2xD4) = C10xC22:C4central extension (φ=1)80C10.64(C2xD4)160,176
C10.65(C2xD4) = C10xC4:C4central extension (φ=1)160C10.65(C2xD4)160,177
C10.66(C2xD4) = D4xC20central extension (φ=1)80C10.66(C2xD4)160,179
C10.67(C2xD4) = C5xC22wrC2central extension (φ=1)40C10.67(C2xD4)160,181
C10.68(C2xD4) = C5xC4:D4central extension (φ=1)80C10.68(C2xD4)160,182
C10.69(C2xD4) = C5xC22:Q8central extension (φ=1)80C10.69(C2xD4)160,183
C10.70(C2xD4) = C5xC22.D4central extension (φ=1)80C10.70(C2xD4)160,184
C10.71(C2xD4) = C5xC4.4D4central extension (φ=1)80C10.71(C2xD4)160,185
C10.72(C2xD4) = C5xC4:1D4central extension (φ=1)80C10.72(C2xD4)160,188
C10.73(C2xD4) = C5xC4:Q8central extension (φ=1)160C10.73(C2xD4)160,189
C10.74(C2xD4) = C10xD8central extension (φ=1)80C10.74(C2xD4)160,193
C10.75(C2xD4) = C10xSD16central extension (φ=1)80C10.75(C2xD4)160,194
C10.76(C2xD4) = C10xQ16central extension (φ=1)160C10.76(C2xD4)160,195
C10.77(C2xD4) = C5xC4oD8central extension (φ=1)802C10.77(C2xD4)160,196
C10.78(C2xD4) = C5xC8:C22central extension (φ=1)404C10.78(C2xD4)160,197
C10.79(C2xD4) = C5xC8.C22central extension (φ=1)804C10.79(C2xD4)160,198

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