Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

Extensions 1→N→G→Q→1 with N=C22 and Q=C22×D13

Direct product G=N×Q with N=C22 and Q=C22×D13
dρLabelID
C24×D13208C2^4xD13416,234

Semidirect products G=N:Q with N=C22 and Q=C22×D13
extensionφ:Q→Aut NdρLabelID
C22⋊1(C22×D13) = C2×D4×D13φ: C22×D13/D26 → C2 ⊆ Aut C22104C2^2:1(C2^2xD13)416,216
C22⋊2(C22×D13) = C22×C13⋊D4φ: C22×D13/C2×C26 → C2 ⊆ Aut C22208C2^2:2(C2^2xD13)416,226

Non-split extensions G=N.Q with N=C22 and Q=C22×D13
extensionφ:Q→Aut NdρLabelID
C22.1(C22×D13) = C2×D4⋊2D13φ: C22×D13/D26 → C2 ⊆ Aut C22208C2^2.1(C2^2xD13)416,217
C22.2(C22×D13) = C4○D4×D13φ: C22×D13/D26 → C2 ⊆ Aut C221044C2^2.2(C2^2xD13)416,222
C22.3(C22×D13) = D4⋊8D26φ: C22×D13/D26 → C2 ⊆ Aut C221044+C2^2.3(C2^2xD13)416,223
C22.4(C22×D13) = D4.10D26φ: C22×D13/D26 → C2 ⊆ Aut C222084-C2^2.4(C2^2xD13)416,224
C22.5(C22×D13) = C2×D52⋊5C2φ: C22×D13/C2×C26 → C2 ⊆ Aut C22208C2^2.5(C2^2xD13)416,215
C22.6(C22×D13) = D4⋊6D26φ: C22×D13/C2×C26 → C2 ⊆ Aut C221044C2^2.6(C2^2xD13)416,218
C22.7(C22×D13) = Q8.10D26φ: C22×D13/C2×C26 → C2 ⊆ Aut C222084C2^2.7(C2^2xD13)416,221
C22.8(C22×D13) = C4×Dic26central extension (φ=1)416C2^2.8(C2^2xD13)416,89
C22.9(C22×D13) = C42×D13central extension (φ=1)208C2^2.9(C2^2xD13)416,92
C22.10(C22×D13) = C42⋊D13central extension (φ=1)208C2^2.10(C2^2xD13)416,93
C22.11(C22×D13) = C4×D52central extension (φ=1)208C2^2.11(C2^2xD13)416,94
C22.12(C22×D13) = C23.11D26central extension (φ=1)208C2^2.12(C2^2xD13)416,98
C22.13(C22×D13) = C22⋊C4×D13central extension (φ=1)104C2^2.13(C2^2xD13)416,101
C22.14(C22×D13) = Dic13⋊4D4central extension (φ=1)208C2^2.14(C2^2xD13)416,102
C22.15(C22×D13) = Dic13⋊3Q8central extension (φ=1)416C2^2.15(C2^2xD13)416,108
C22.16(C22×D13) = C4⋊C4×D13central extension (φ=1)208C2^2.16(C2^2xD13)416,112
C22.17(C22×D13) = C4⋊C4⋊7D13central extension (φ=1)208C2^2.17(C2^2xD13)416,113
C22.18(C22×D13) = D52⋊8C4central extension (φ=1)208C2^2.18(C2^2xD13)416,114
C22.19(C22×D13) = C2×C4×Dic13central extension (φ=1)416C2^2.19(C2^2xD13)416,143
C22.20(C22×D13) = C2×C26.D4central extension (φ=1)416C2^2.20(C2^2xD13)416,144
C22.21(C22×D13) = C2×C52⋊3C4central extension (φ=1)416C2^2.21(C2^2xD13)416,146
C22.22(C22×D13) = C23.21D26central extension (φ=1)208C2^2.22(C2^2xD13)416,147
C22.23(C22×D13) = C2×D26⋊C4central extension (φ=1)208C2^2.23(C2^2xD13)416,148
C22.24(C22×D13) = C4×C13⋊D4central extension (φ=1)208C2^2.24(C2^2xD13)416,149
C22.25(C22×D13) = D4×Dic13central extension (φ=1)208C2^2.25(C2^2xD13)416,155
C22.26(C22×D13) = Q8×Dic13central extension (φ=1)416C2^2.26(C2^2xD13)416,166
C22.27(C22×D13) = C2×C23.D13central extension (φ=1)208C2^2.27(C2^2xD13)416,173
C22.28(C22×D13) = C22×Dic26central extension (φ=1)416C2^2.28(C2^2xD13)416,212
C22.29(C22×D13) = C22×C4×D13central extension (φ=1)208C2^2.29(C2^2xD13)416,213
C22.30(C22×D13) = C22×D52central extension (φ=1)208C2^2.30(C2^2xD13)416,214
C22.31(C22×D13) = C2×Q8×D13central extension (φ=1)208C2^2.31(C2^2xD13)416,219
C22.32(C22×D13) = C2×D52⋊C2central extension (φ=1)208C2^2.32(C2^2xD13)416,220
C22.33(C22×D13) = C23×Dic13central extension (φ=1)416C2^2.33(C2^2xD13)416,225
C22.34(C22×D13) = C52⋊2Q8central stem extension (φ=1)416C2^2.34(C2^2xD13)416,90
C22.35(C22×D13) = C52.6Q8central stem extension (φ=1)416C2^2.35(C2^2xD13)416,91
C22.36(C22×D13) = C4⋊D52central stem extension (φ=1)208C2^2.36(C2^2xD13)416,95
C22.37(C22×D13) = C4.D52central stem extension (φ=1)208C2^2.37(C2^2xD13)416,96
C22.38(C22×D13) = C42⋊2D13central stem extension (φ=1)208C2^2.38(C2^2xD13)416,97
C22.39(C22×D13) = C22⋊Dic26central stem extension (φ=1)208C2^2.39(C2^2xD13)416,99
C22.40(C22×D13) = C23.D26central stem extension (φ=1)208C2^2.40(C2^2xD13)416,100
C22.41(C22×D13) = C22⋊D52central stem extension (φ=1)104C2^2.41(C2^2xD13)416,103
C22.42(C22×D13) = D26.12D4central stem extension (φ=1)208C2^2.42(C2^2xD13)416,104
C22.43(C22×D13) = D26⋊D4central stem extension (φ=1)208C2^2.43(C2^2xD13)416,105
C22.44(C22×D13) = C23.6D26central stem extension (φ=1)208C2^2.44(C2^2xD13)416,106
C22.45(C22×D13) = C22.D52central stem extension (φ=1)208C2^2.45(C2^2xD13)416,107
C22.46(C22×D13) = C52⋊Q8central stem extension (φ=1)416C2^2.46(C2^2xD13)416,109
C22.47(C22×D13) = Dic13.Q8central stem extension (φ=1)416C2^2.47(C2^2xD13)416,110
C22.48(C22×D13) = C4.Dic26central stem extension (φ=1)416C2^2.48(C2^2xD13)416,111
C22.49(C22×D13) = D26.13D4central stem extension (φ=1)208C2^2.49(C2^2xD13)416,115
C22.50(C22×D13) = C4⋊2D52central stem extension (φ=1)208C2^2.50(C2^2xD13)416,116
C22.51(C22×D13) = D26⋊Q8central stem extension (φ=1)208C2^2.51(C2^2xD13)416,117
C22.52(C22×D13) = D26⋊2Q8central stem extension (φ=1)208C2^2.52(C2^2xD13)416,118
C22.53(C22×D13) = C4⋊C4⋊D13central stem extension (φ=1)208C2^2.53(C2^2xD13)416,119
C22.54(C22×D13) = C52.48D4central stem extension (φ=1)208C2^2.54(C2^2xD13)416,145
C22.55(C22×D13) = C23.23D26central stem extension (φ=1)208C2^2.55(C2^2xD13)416,150
C22.56(C22×D13) = C52⋊7D4central stem extension (φ=1)208C2^2.56(C2^2xD13)416,151
C22.57(C22×D13) = C23.18D26central stem extension (φ=1)208C2^2.57(C2^2xD13)416,156
C22.58(C22×D13) = C52.17D4central stem extension (φ=1)208C2^2.58(C2^2xD13)416,157
C22.59(C22×D13) = C23⋊D26central stem extension (φ=1)104C2^2.59(C2^2xD13)416,158
C22.60(C22×D13) = C52⋊2D4central stem extension (φ=1)208C2^2.60(C2^2xD13)416,159
C22.61(C22×D13) = Dic13⋊D4central stem extension (φ=1)208C2^2.61(C2^2xD13)416,160
C22.62(C22×D13) = C52⋊D4central stem extension (φ=1)208C2^2.62(C2^2xD13)416,161
C22.63(C22×D13) = Dic13⋊Q8central stem extension (φ=1)416C2^2.63(C2^2xD13)416,165
C22.64(C22×D13) = D26⋊3Q8central stem extension (φ=1)208C2^2.64(C2^2xD13)416,167
C22.65(C22×D13) = C52.23D4central stem extension (φ=1)208C2^2.65(C2^2xD13)416,168
C22.66(C22×D13) = C24⋊D13central stem extension (φ=1)104C2^2.66(C2^2xD13)416,174

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁