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Extensions 1→N→G→Q→1 with N=C26 and Q=C22×C4

Direct product G=N×Q with N=C26 and Q=C22×C4
dρLabelID
C23×C52416C2^3xC52416,227

Semidirect products G=N:Q with N=C26 and Q=C22×C4
extensionφ:Q→Aut NdρLabelID
C26⋊(C22×C4) = C23×C13⋊C4φ: C22×C4/C22 → C4 ⊆ Aut C26104C26:(C2^2xC4)416,233
C26⋊2(C22×C4) = C22×C4×D13φ: C22×C4/C2×C4 → C2 ⊆ Aut C26208C26:2(C2^2xC4)416,213
C26⋊3(C22×C4) = C23×Dic13φ: C22×C4/C23 → C2 ⊆ Aut C26416C26:3(C2^2xC4)416,225

Non-split extensions G=N.Q with N=C26 and Q=C22×C4
extensionφ:Q→Aut NdρLabelID
C26.1(C22×C4) = C2×D13⋊C8φ: C22×C4/C22 → C4 ⊆ Aut C26208C26.1(C2^2xC4)416,199
C26.2(C22×C4) = C2×C52.C4φ: C22×C4/C22 → C4 ⊆ Aut C26208C26.2(C2^2xC4)416,200
C26.3(C22×C4) = D13⋊M4(2)φ: C22×C4/C22 → C4 ⊆ Aut C261044C26.3(C2^2xC4)416,201
C26.4(C22×C4) = C2×C4×C13⋊C4φ: C22×C4/C22 → C4 ⊆ Aut C26104C26.4(C2^2xC4)416,202
C26.5(C22×C4) = C2×C52⋊C4φ: C22×C4/C22 → C4 ⊆ Aut C26104C26.5(C2^2xC4)416,203
C26.6(C22×C4) = D26.C23φ: C22×C4/C22 → C4 ⊆ Aut C261044C26.6(C2^2xC4)416,204
C26.7(C22×C4) = Dic26.C4φ: C22×C4/C22 → C4 ⊆ Aut C262088-C26.7(C2^2xC4)416,205
C26.8(C22×C4) = D4×C13⋊C4φ: C22×C4/C22 → C4 ⊆ Aut C26528+C26.8(C2^2xC4)416,206
C26.9(C22×C4) = D52.C4φ: C22×C4/C22 → C4 ⊆ Aut C262088+C26.9(C2^2xC4)416,207
C26.10(C22×C4) = Q8×C13⋊C4φ: C22×C4/C22 → C4 ⊆ Aut C261048-C26.10(C2^2xC4)416,208
C26.11(C22×C4) = C22×C13⋊C8φ: C22×C4/C22 → C4 ⊆ Aut C26416C26.11(C2^2xC4)416,209
C26.12(C22×C4) = C2×C13⋊M4(2)φ: C22×C4/C22 → C4 ⊆ Aut C26208C26.12(C2^2xC4)416,210
C26.13(C22×C4) = C2×D13.D4φ: C22×C4/C22 → C4 ⊆ Aut C26104C26.13(C2^2xC4)416,211
C26.14(C22×C4) = C4×Dic26φ: C22×C4/C2×C4 → C2 ⊆ Aut C26416C26.14(C2^2xC4)416,89
C26.15(C22×C4) = C42×D13φ: C22×C4/C2×C4 → C2 ⊆ Aut C26208C26.15(C2^2xC4)416,92
C26.16(C22×C4) = C42⋊D13φ: C22×C4/C2×C4 → C2 ⊆ Aut C26208C26.16(C2^2xC4)416,93
C26.17(C22×C4) = C4×D52φ: C22×C4/C2×C4 → C2 ⊆ Aut C26208C26.17(C2^2xC4)416,94
C26.18(C22×C4) = C23.11D26φ: C22×C4/C2×C4 → C2 ⊆ Aut C26208C26.18(C2^2xC4)416,98
C26.19(C22×C4) = C22⋊C4×D13φ: C22×C4/C2×C4 → C2 ⊆ Aut C26104C26.19(C2^2xC4)416,101
C26.20(C22×C4) = Dic13⋊4D4φ: C22×C4/C2×C4 → C2 ⊆ Aut C26208C26.20(C2^2xC4)416,102
C26.21(C22×C4) = Dic13⋊3Q8φ: C22×C4/C2×C4 → C2 ⊆ Aut C26416C26.21(C2^2xC4)416,108
C26.22(C22×C4) = C4⋊C4×D13φ: C22×C4/C2×C4 → C2 ⊆ Aut C26208C26.22(C2^2xC4)416,112
C26.23(C22×C4) = C4⋊C4⋊7D13φ: C22×C4/C2×C4 → C2 ⊆ Aut C26208C26.23(C2^2xC4)416,113
C26.24(C22×C4) = D52⋊8C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C26208C26.24(C2^2xC4)416,114
C26.25(C22×C4) = C2×C8×D13φ: C22×C4/C2×C4 → C2 ⊆ Aut C26208C26.25(C2^2xC4)416,120
C26.26(C22×C4) = C2×C8⋊D13φ: C22×C4/C2×C4 → C2 ⊆ Aut C26208C26.26(C2^2xC4)416,121
C26.27(C22×C4) = D52.3C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C262082C26.27(C2^2xC4)416,122
C26.28(C22×C4) = M4(2)×D13φ: C22×C4/C2×C4 → C2 ⊆ Aut C261044C26.28(C2^2xC4)416,127
C26.29(C22×C4) = D52.2C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C262084C26.29(C2^2xC4)416,128
C26.30(C22×C4) = C2×C26.D4φ: C22×C4/C2×C4 → C2 ⊆ Aut C26416C26.30(C2^2xC4)416,144
C26.31(C22×C4) = C2×D26⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C26208C26.31(C2^2xC4)416,148
C26.32(C22×C4) = C4×C13⋊D4φ: C22×C4/C2×C4 → C2 ⊆ Aut C26208C26.32(C2^2xC4)416,149
C26.33(C22×C4) = C22×C13⋊2C8φ: C22×C4/C23 → C2 ⊆ Aut C26416C26.33(C2^2xC4)416,141
C26.34(C22×C4) = C2×C52.4C4φ: C22×C4/C23 → C2 ⊆ Aut C26208C26.34(C2^2xC4)416,142
C26.35(C22×C4) = C2×C4×Dic13φ: C22×C4/C23 → C2 ⊆ Aut C26416C26.35(C2^2xC4)416,143
C26.36(C22×C4) = C2×C52⋊3C4φ: C22×C4/C23 → C2 ⊆ Aut C26416C26.36(C2^2xC4)416,146
C26.37(C22×C4) = C23.21D26φ: C22×C4/C23 → C2 ⊆ Aut C26208C26.37(C2^2xC4)416,147
C26.38(C22×C4) = D4×Dic13φ: C22×C4/C23 → C2 ⊆ Aut C26208C26.38(C2^2xC4)416,155
C26.39(C22×C4) = Q8×Dic13φ: C22×C4/C23 → C2 ⊆ Aut C26416C26.39(C2^2xC4)416,166
C26.40(C22×C4) = D4.Dic13φ: C22×C4/C23 → C2 ⊆ Aut C262084C26.40(C2^2xC4)416,169
C26.41(C22×C4) = C2×C23.D13φ: C22×C4/C23 → C2 ⊆ Aut C26208C26.41(C2^2xC4)416,173
C26.42(C22×C4) = C22⋊C4×C26central extension (φ=1)208C26.42(C2^2xC4)416,176
C26.43(C22×C4) = C4⋊C4×C26central extension (φ=1)416C26.43(C2^2xC4)416,177
C26.44(C22×C4) = C13×C42⋊C2central extension (φ=1)208C26.44(C2^2xC4)416,178
C26.45(C22×C4) = D4×C52central extension (φ=1)208C26.45(C2^2xC4)416,179
C26.46(C22×C4) = Q8×C52central extension (φ=1)416C26.46(C2^2xC4)416,180
C26.47(C22×C4) = M4(2)×C26central extension (φ=1)208C26.47(C2^2xC4)416,191
C26.48(C22×C4) = C13×C8○D4central extension (φ=1)2082C26.48(C2^2xC4)416,192

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