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Extensions 1→N→G→Q→1 with N=C10 and Q=C23:C4

Direct product G=NxQ with N=C10 and Q=C23:C4
dρLabelID
C10xC23:C480C10xC2^3:C4320,910

Semidirect products G=N:Q with N=C10 and Q=C23:C4
extensionφ:Q→Aut NdρLabelID
C10:1(C23:C4) = C2xD10.D4φ: C23:C4/C2xC4 → C4 ⊆ Aut C1080C10:1(C2^3:C4)320,1082
C10:2(C23:C4) = C2xC23:F5φ: C23:C4/C23 → C4 ⊆ Aut C1080C10:2(C2^3:C4)320,1134
C10:3(C23:C4) = C2xC23.1D10φ: C23:C4/C22:C4 → C2 ⊆ Aut C1080C10:3(C2^3:C4)320,581
C10:4(C23:C4) = C2xC23:Dic5φ: C23:C4/C2xD4 → C2 ⊆ Aut C1080C10:4(C2^3:C4)320,846

Non-split extensions G=N.Q with N=C10 and Q=C23:C4
extensionφ:Q→Aut NdρLabelID
C10.1(C23:C4) = C42:F5φ: C23:C4/C2xC4 → C4 ⊆ Aut C10404+C10.1(C2^3:C4)320,191
C10.2(C23:C4) = C42:2F5φ: C23:C4/C2xC4 → C4 ⊆ Aut C10804C10.2(C2^3:C4)320,192
C10.3(C23:C4) = C42.F5φ: C23:C4/C2xC4 → C4 ⊆ Aut C10804-C10.3(C2^3:C4)320,193
C10.4(C23:C4) = C42.2F5φ: C23:C4/C2xC4 → C4 ⊆ Aut C10804C10.4(C2^3:C4)320,194
C10.5(C23:C4) = C5:C2wrC4φ: C23:C4/C2xC4 → C4 ⊆ Aut C10408+C10.5(C2^3:C4)320,202
C10.6(C23:C4) = C22:C4:F5φ: C23:C4/C2xC4 → C4 ⊆ Aut C10808-C10.6(C2^3:C4)320,203
C10.7(C23:C4) = D10.1D8φ: C23:C4/C2xC4 → C4 ⊆ Aut C1080C10.7(C2^3:C4)320,206
C10.8(C23:C4) = D10.1Q16φ: C23:C4/C2xC4 → C4 ⊆ Aut C1080C10.8(C2^3:C4)320,207
C10.9(C23:C4) = (C2xC20):1C8φ: C23:C4/C2xC4 → C4 ⊆ Aut C10160C10.9(C2^3:C4)320,251
C10.10(C23:C4) = C5:(C23:C8)φ: C23:C4/C2xC4 → C4 ⊆ Aut C1080C10.10(C2^3:C4)320,253
C10.11(C23:C4) = C22:F5:C4φ: C23:C4/C2xC4 → C4 ⊆ Aut C1080C10.11(C2^3:C4)320,255
C10.12(C23:C4) = (C22xC4).F5φ: C23:C4/C23 → C4 ⊆ Aut C10160C10.12(C2^3:C4)320,252
C10.13(C23:C4) = (C22xC4):F5φ: C23:C4/C23 → C4 ⊆ Aut C10804C10.13(C2^3:C4)320,254
C10.14(C23:C4) = D10.SD16φ: C23:C4/C23 → C4 ⊆ Aut C1080C10.14(C2^3:C4)320,258
C10.15(C23:C4) = (C2xD4):F5φ: C23:C4/C23 → C4 ⊆ Aut C10408+C10.15(C2^3:C4)320,260
C10.16(C23:C4) = (D4xC10).C4φ: C23:C4/C23 → C4 ⊆ Aut C10808-C10.16(C2^3:C4)320,261
C10.17(C23:C4) = D10.Q16φ: C23:C4/C23 → C4 ⊆ Aut C1080C10.17(C2^3:C4)320,264
C10.18(C23:C4) = (C2xQ8):F5φ: C23:C4/C23 → C4 ⊆ Aut C10808+C10.18(C2^3:C4)320,266
C10.19(C23:C4) = (Q8xC10).C4φ: C23:C4/C23 → C4 ⊆ Aut C10808-C10.19(C2^3:C4)320,267
C10.20(C23:C4) = C24.F5φ: C23:C4/C23 → C4 ⊆ Aut C1080C10.20(C2^3:C4)320,271
C10.21(C23:C4) = C24:2F5φ: C23:C4/C23 → C4 ⊆ Aut C10404C10.21(C2^3:C4)320,272
C10.22(C23:C4) = (C2xD20):C4φ: C23:C4/C22:C4 → C2 ⊆ Aut C1080C10.22(C2^3:C4)320,9
C10.23(C23:C4) = C4:Dic5:C4φ: C23:C4/C22:C4 → C2 ⊆ Aut C1080C10.23(C2^3:C4)320,10
C10.24(C23:C4) = C23.30D20φ: C23:C4/C22:C4 → C2 ⊆ Aut C1080C10.24(C2^3:C4)320,25
C10.25(C23:C4) = C5:3(C23:C8)φ: C23:C4/C22:C4 → C2 ⊆ Aut C1080C10.25(C2^3:C4)320,26
C10.26(C23:C4) = (C2xDic5):C8φ: C23:C4/C22:C4 → C2 ⊆ Aut C10160C10.26(C2^3:C4)320,27
C10.27(C23:C4) = C22.2D40φ: C23:C4/C22:C4 → C2 ⊆ Aut C1080C10.27(C2^3:C4)320,28
C10.28(C23:C4) = C5:3C2wrC4φ: C23:C4/C22:C4 → C2 ⊆ Aut C10408+C10.28(C2^3:C4)320,29
C10.29(C23:C4) = (C2xC20).D4φ: C23:C4/C22:C4 → C2 ⊆ Aut C10808-C10.29(C2^3:C4)320,30
C10.30(C23:C4) = C23.D20φ: C23:C4/C22:C4 → C2 ⊆ Aut C10808-C10.30(C2^3:C4)320,31
C10.31(C23:C4) = C23.2D20φ: C23:C4/C22:C4 → C2 ⊆ Aut C10408+C10.31(C2^3:C4)320,32
C10.32(C23:C4) = C23.3D20φ: C23:C4/C22:C4 → C2 ⊆ Aut C10408+C10.32(C2^3:C4)320,33
C10.33(C23:C4) = C23.4D20φ: C23:C4/C22:C4 → C2 ⊆ Aut C10808-C10.33(C2^3:C4)320,34
C10.34(C23:C4) = (C2xC4).D20φ: C23:C4/C22:C4 → C2 ⊆ Aut C10808+C10.34(C2^3:C4)320,35
C10.35(C23:C4) = (C2xQ8).D10φ: C23:C4/C22:C4 → C2 ⊆ Aut C10808-C10.35(C2^3:C4)320,36
C10.36(C23:C4) = C24.2D10φ: C23:C4/C22:C4 → C2 ⊆ Aut C1080C10.36(C2^3:C4)320,85
C10.37(C23:C4) = C24.Dic5φ: C23:C4/C2xD4 → C2 ⊆ Aut C1080C10.37(C2^3:C4)320,83
C10.38(C23:C4) = C24.D10φ: C23:C4/C2xD4 → C2 ⊆ Aut C1080C10.38(C2^3:C4)320,84
C10.39(C23:C4) = (C2xC20):C8φ: C23:C4/C2xD4 → C2 ⊆ Aut C10160C10.39(C2^3:C4)320,86
C10.40(C23:C4) = C24:2Dic5φ: C23:C4/C2xD4 → C2 ⊆ Aut C10404C10.40(C2^3:C4)320,94
C10.41(C23:C4) = C4:C4:Dic5φ: C23:C4/C2xD4 → C2 ⊆ Aut C1080C10.41(C2^3:C4)320,95
C10.42(C23:C4) = C10.29C4wrC2φ: C23:C4/C2xD4 → C2 ⊆ Aut C1080C10.42(C2^3:C4)320,96
C10.43(C23:C4) = (C22xC20):C4φ: C23:C4/C2xD4 → C2 ⊆ Aut C10804C10.43(C2^3:C4)320,97
C10.44(C23:C4) = C42:Dic5φ: C23:C4/C2xD4 → C2 ⊆ Aut C10804C10.44(C2^3:C4)320,99
C10.45(C23:C4) = C42.Dic5φ: C23:C4/C2xD4 → C2 ⊆ Aut C10804C10.45(C2^3:C4)320,100
C10.46(C23:C4) = C42:3Dic5φ: C23:C4/C2xD4 → C2 ⊆ Aut C10404C10.46(C2^3:C4)320,103
C10.47(C23:C4) = C42.3Dic5φ: C23:C4/C2xD4 → C2 ⊆ Aut C10804C10.47(C2^3:C4)320,106
C10.48(C23:C4) = C5xC23:C8central extension (φ=1)80C10.48(C2^3:C4)320,128
C10.49(C23:C4) = C5xC22.M4(2)central extension (φ=1)160C10.49(C2^3:C4)320,129
C10.50(C23:C4) = C5xC22.SD16central extension (φ=1)80C10.50(C2^3:C4)320,132
C10.51(C23:C4) = C5xC23.31D4central extension (φ=1)80C10.51(C2^3:C4)320,133
C10.52(C23:C4) = C5xC23.9D4central extension (φ=1)80C10.52(C2^3:C4)320,147
C10.53(C23:C4) = C5xC2wrC4central extension (φ=1)404C10.53(C2^3:C4)320,156
C10.54(C23:C4) = C5xC23.D4central extension (φ=1)804C10.54(C2^3:C4)320,157
C10.55(C23:C4) = C5xC42:C4central extension (φ=1)404C10.55(C2^3:C4)320,158
C10.56(C23:C4) = C5xC42:3C4central extension (φ=1)804C10.56(C2^3:C4)320,159
C10.57(C23:C4) = C5xC42.C4central extension (φ=1)804C10.57(C2^3:C4)320,160
C10.58(C23:C4) = C5xC42.3C4central extension (φ=1)804C10.58(C2^3:C4)320,161

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