Extensions 1→N→G→Q→1 with N=C26 and Q=C22xC4

Direct product G=NxQ with N=C26 and Q=C22xC4
dρLabelID
C23xC52416C2^3xC52416,227

Semidirect products G=N:Q with N=C26 and Q=C22xC4
extensionφ:Q→Aut NdρLabelID
C26:(C22xC4) = C23xC13:C4φ: C22xC4/C22C4 ⊆ Aut C26104C26:(C2^2xC4)416,233
C26:2(C22xC4) = C22xC4xD13φ: C22xC4/C2xC4C2 ⊆ Aut C26208C26:2(C2^2xC4)416,213
C26:3(C22xC4) = C23xDic13φ: C22xC4/C23C2 ⊆ Aut C26416C26:3(C2^2xC4)416,225

Non-split extensions G=N.Q with N=C26 and Q=C22xC4
extensionφ:Q→Aut NdρLabelID
C26.1(C22xC4) = C2xD13:C8φ: C22xC4/C22C4 ⊆ Aut C26208C26.1(C2^2xC4)416,199
C26.2(C22xC4) = C2xC52.C4φ: C22xC4/C22C4 ⊆ Aut C26208C26.2(C2^2xC4)416,200
C26.3(C22xC4) = D13:M4(2)φ: C22xC4/C22C4 ⊆ Aut C261044C26.3(C2^2xC4)416,201
C26.4(C22xC4) = C2xC4xC13:C4φ: C22xC4/C22C4 ⊆ Aut C26104C26.4(C2^2xC4)416,202
C26.5(C22xC4) = C2xC52:C4φ: C22xC4/C22C4 ⊆ Aut C26104C26.5(C2^2xC4)416,203
C26.6(C22xC4) = D26.C23φ: C22xC4/C22C4 ⊆ Aut C261044C26.6(C2^2xC4)416,204
C26.7(C22xC4) = Dic26.C4φ: C22xC4/C22C4 ⊆ Aut C262088-C26.7(C2^2xC4)416,205
C26.8(C22xC4) = D4xC13:C4φ: C22xC4/C22C4 ⊆ Aut C26528+C26.8(C2^2xC4)416,206
C26.9(C22xC4) = D52.C4φ: C22xC4/C22C4 ⊆ Aut C262088+C26.9(C2^2xC4)416,207
C26.10(C22xC4) = Q8xC13:C4φ: C22xC4/C22C4 ⊆ Aut C261048-C26.10(C2^2xC4)416,208
C26.11(C22xC4) = C22xC13:C8φ: C22xC4/C22C4 ⊆ Aut C26416C26.11(C2^2xC4)416,209
C26.12(C22xC4) = C2xC13:M4(2)φ: C22xC4/C22C4 ⊆ Aut C26208C26.12(C2^2xC4)416,210
C26.13(C22xC4) = C2xD13.D4φ: C22xC4/C22C4 ⊆ Aut C26104C26.13(C2^2xC4)416,211
C26.14(C22xC4) = C4xDic26φ: C22xC4/C2xC4C2 ⊆ Aut C26416C26.14(C2^2xC4)416,89
C26.15(C22xC4) = C42xD13φ: C22xC4/C2xC4C2 ⊆ Aut C26208C26.15(C2^2xC4)416,92
C26.16(C22xC4) = C42:D13φ: C22xC4/C2xC4C2 ⊆ Aut C26208C26.16(C2^2xC4)416,93
C26.17(C22xC4) = C4xD52φ: C22xC4/C2xC4C2 ⊆ Aut C26208C26.17(C2^2xC4)416,94
C26.18(C22xC4) = C23.11D26φ: C22xC4/C2xC4C2 ⊆ Aut C26208C26.18(C2^2xC4)416,98
C26.19(C22xC4) = C22:C4xD13φ: C22xC4/C2xC4C2 ⊆ Aut C26104C26.19(C2^2xC4)416,101
C26.20(C22xC4) = Dic13:4D4φ: C22xC4/C2xC4C2 ⊆ Aut C26208C26.20(C2^2xC4)416,102
C26.21(C22xC4) = Dic13:3Q8φ: C22xC4/C2xC4C2 ⊆ Aut C26416C26.21(C2^2xC4)416,108
C26.22(C22xC4) = C4:C4xD13φ: C22xC4/C2xC4C2 ⊆ Aut C26208C26.22(C2^2xC4)416,112
C26.23(C22xC4) = C4:C4:7D13φ: C22xC4/C2xC4C2 ⊆ Aut C26208C26.23(C2^2xC4)416,113
C26.24(C22xC4) = D52:8C4φ: C22xC4/C2xC4C2 ⊆ Aut C26208C26.24(C2^2xC4)416,114
C26.25(C22xC4) = C2xC8xD13φ: C22xC4/C2xC4C2 ⊆ Aut C26208C26.25(C2^2xC4)416,120
C26.26(C22xC4) = C2xC8:D13φ: C22xC4/C2xC4C2 ⊆ Aut C26208C26.26(C2^2xC4)416,121
C26.27(C22xC4) = D52.3C4φ: C22xC4/C2xC4C2 ⊆ Aut C262082C26.27(C2^2xC4)416,122
C26.28(C22xC4) = M4(2)xD13φ: C22xC4/C2xC4C2 ⊆ Aut C261044C26.28(C2^2xC4)416,127
C26.29(C22xC4) = D52.2C4φ: C22xC4/C2xC4C2 ⊆ Aut C262084C26.29(C2^2xC4)416,128
C26.30(C22xC4) = C2xC26.D4φ: C22xC4/C2xC4C2 ⊆ Aut C26416C26.30(C2^2xC4)416,144
C26.31(C22xC4) = C2xD26:C4φ: C22xC4/C2xC4C2 ⊆ Aut C26208C26.31(C2^2xC4)416,148
C26.32(C22xC4) = C4xC13:D4φ: C22xC4/C2xC4C2 ⊆ Aut C26208C26.32(C2^2xC4)416,149
C26.33(C22xC4) = C22xC13:2C8φ: C22xC4/C23C2 ⊆ Aut C26416C26.33(C2^2xC4)416,141
C26.34(C22xC4) = C2xC52.4C4φ: C22xC4/C23C2 ⊆ Aut C26208C26.34(C2^2xC4)416,142
C26.35(C22xC4) = C2xC4xDic13φ: C22xC4/C23C2 ⊆ Aut C26416C26.35(C2^2xC4)416,143
C26.36(C22xC4) = C2xC52:3C4φ: C22xC4/C23C2 ⊆ Aut C26416C26.36(C2^2xC4)416,146
C26.37(C22xC4) = C23.21D26φ: C22xC4/C23C2 ⊆ Aut C26208C26.37(C2^2xC4)416,147
C26.38(C22xC4) = D4xDic13φ: C22xC4/C23C2 ⊆ Aut C26208C26.38(C2^2xC4)416,155
C26.39(C22xC4) = Q8xDic13φ: C22xC4/C23C2 ⊆ Aut C26416C26.39(C2^2xC4)416,166
C26.40(C22xC4) = D4.Dic13φ: C22xC4/C23C2 ⊆ Aut C262084C26.40(C2^2xC4)416,169
C26.41(C22xC4) = C2xC23.D13φ: C22xC4/C23C2 ⊆ Aut C26208C26.41(C2^2xC4)416,173
C26.42(C22xC4) = C22:C4xC26central extension (φ=1)208C26.42(C2^2xC4)416,176
C26.43(C22xC4) = C4:C4xC26central extension (φ=1)416C26.43(C2^2xC4)416,177
C26.44(C22xC4) = C13xC42:C2central extension (φ=1)208C26.44(C2^2xC4)416,178
C26.45(C22xC4) = D4xC52central extension (φ=1)208C26.45(C2^2xC4)416,179
C26.46(C22xC4) = Q8xC52central extension (φ=1)416C26.46(C2^2xC4)416,180
C26.47(C22xC4) = M4(2)xC26central extension (φ=1)208C26.47(C2^2xC4)416,191
C26.48(C22xC4) = C13xC8oD4central extension (φ=1)2082C26.48(C2^2xC4)416,192

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