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

Extensions 1→N→G→Q→1 with N=C26 and Q=C4○D4

Direct product G=N×Q with N=C26 and Q=C4○D4
dρLabelID
C4○D4×C26208C4oD4xC26416,230

Semidirect products G=N:Q with N=C26 and Q=C4○D4
extensionφ:Q→Aut NdρLabelID
C26⋊1(C4○D4) = C2×D52⋊5C2φ: C4○D4/C2×C4 → C2 ⊆ Aut C26208C26:1(C4oD4)416,215
C26⋊2(C4○D4) = C2×D4⋊2D13φ: C4○D4/D4 → C2 ⊆ Aut C26208C26:2(C4oD4)416,217
C26⋊3(C4○D4) = C2×D52⋊C2φ: C4○D4/Q8 → C2 ⊆ Aut C26208C26:3(C4oD4)416,220

Non-split extensions G=N.Q with N=C26 and Q=C4○D4
extensionφ:Q→Aut NdρLabelID
C26.1(C4○D4) = C4×Dic26φ: C4○D4/C2×C4 → C2 ⊆ Aut C26416C26.1(C4oD4)416,89
C26.2(C4○D4) = C52.6Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C26416C26.2(C4oD4)416,91
C26.3(C4○D4) = C42⋊D13φ: C4○D4/C2×C4 → C2 ⊆ Aut C26208C26.3(C4oD4)416,93
C26.4(C4○D4) = C4×D52φ: C4○D4/C2×C4 → C2 ⊆ Aut C26208C26.4(C4oD4)416,94
C26.5(C4○D4) = C4.D52φ: C4○D4/C2×C4 → C2 ⊆ Aut C26208C26.5(C4oD4)416,96
C26.6(C4○D4) = C42⋊2D13φ: C4○D4/C2×C4 → C2 ⊆ Aut C26208C26.6(C4oD4)416,97
C26.7(C4○D4) = C23.D26φ: C4○D4/C2×C4 → C2 ⊆ Aut C26208C26.7(C4oD4)416,100
C26.8(C4○D4) = D26.12D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C26208C26.8(C4oD4)416,104
C26.9(C4○D4) = D26⋊D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C26208C26.9(C4oD4)416,105
C26.10(C4○D4) = C23.6D26φ: C4○D4/C2×C4 → C2 ⊆ Aut C26208C26.10(C4oD4)416,106
C26.11(C4○D4) = Dic13.Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C26416C26.11(C4oD4)416,110
C26.12(C4○D4) = D26.13D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C26208C26.12(C4oD4)416,115
C26.13(C4○D4) = D26⋊Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C26208C26.13(C4oD4)416,117
C26.14(C4○D4) = C4⋊C4⋊D13φ: C4○D4/C2×C4 → C2 ⊆ Aut C26208C26.14(C4oD4)416,119
C26.15(C4○D4) = C52.48D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C26208C26.15(C4oD4)416,145
C26.16(C4○D4) = C23.21D26φ: C4○D4/C2×C4 → C2 ⊆ Aut C26208C26.16(C4oD4)416,147
C26.17(C4○D4) = C4×C13⋊D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C26208C26.17(C4oD4)416,149
C26.18(C4○D4) = C23.23D26φ: C4○D4/C2×C4 → C2 ⊆ Aut C26208C26.18(C4oD4)416,150
C26.19(C4○D4) = C52⋊7D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C26208C26.19(C4oD4)416,151
C26.20(C4○D4) = C23.11D26φ: C4○D4/D4 → C2 ⊆ Aut C26208C26.20(C4oD4)416,98
C26.21(C4○D4) = C22⋊Dic26φ: C4○D4/D4 → C2 ⊆ Aut C26208C26.21(C4oD4)416,99
C26.22(C4○D4) = Dic13⋊4D4φ: C4○D4/D4 → C2 ⊆ Aut C26208C26.22(C4oD4)416,102
C26.23(C4○D4) = C22.D52φ: C4○D4/D4 → C2 ⊆ Aut C26208C26.23(C4oD4)416,107
C26.24(C4○D4) = Dic13⋊3Q8φ: C4○D4/D4 → C2 ⊆ Aut C26416C26.24(C4oD4)416,108
C26.25(C4○D4) = C4.Dic26φ: C4○D4/D4 → C2 ⊆ Aut C26416C26.25(C4oD4)416,111
C26.26(C4○D4) = C4⋊C4⋊7D13φ: C4○D4/D4 → C2 ⊆ Aut C26208C26.26(C4oD4)416,113
C26.27(C4○D4) = D26⋊2Q8φ: C4○D4/D4 → C2 ⊆ Aut C26208C26.27(C4oD4)416,118
C26.28(C4○D4) = D4×Dic13φ: C4○D4/D4 → C2 ⊆ Aut C26208C26.28(C4oD4)416,155
C26.29(C4○D4) = C23.18D26φ: C4○D4/D4 → C2 ⊆ Aut C26208C26.29(C4oD4)416,156
C26.30(C4○D4) = C52.17D4φ: C4○D4/D4 → C2 ⊆ Aut C26208C26.30(C4oD4)416,157
C26.31(C4○D4) = C52⋊2D4φ: C4○D4/D4 → C2 ⊆ Aut C26208C26.31(C4oD4)416,159
C26.32(C4○D4) = Dic13⋊D4φ: C4○D4/D4 → C2 ⊆ Aut C26208C26.32(C4oD4)416,160
C26.33(C4○D4) = D52⋊8C4φ: C4○D4/Q8 → C2 ⊆ Aut C26208C26.33(C4oD4)416,114
C26.34(C4○D4) = C4⋊2D52φ: C4○D4/Q8 → C2 ⊆ Aut C26208C26.34(C4oD4)416,116
C26.35(C4○D4) = Q8×Dic13φ: C4○D4/Q8 → C2 ⊆ Aut C26416C26.35(C4oD4)416,166
C26.36(C4○D4) = D26⋊3Q8φ: C4○D4/Q8 → C2 ⊆ Aut C26208C26.36(C4oD4)416,167
C26.37(C4○D4) = C52.23D4φ: C4○D4/Q8 → C2 ⊆ Aut C26208C26.37(C4oD4)416,168
C26.38(C4○D4) = C13×C42⋊C2central extension (φ=1)208C26.38(C4oD4)416,178
C26.39(C4○D4) = D4×C52central extension (φ=1)208C26.39(C4oD4)416,179
C26.40(C4○D4) = Q8×C52central extension (φ=1)416C26.40(C4oD4)416,180
C26.41(C4○D4) = C13×C4⋊D4central extension (φ=1)208C26.41(C4oD4)416,182
C26.42(C4○D4) = C13×C22⋊Q8central extension (φ=1)208C26.42(C4oD4)416,183
C26.43(C4○D4) = C13×C22.D4central extension (φ=1)208C26.43(C4oD4)416,184
C26.44(C4○D4) = C13×C4.4D4central extension (φ=1)208C26.44(C4oD4)416,185
C26.45(C4○D4) = C13×C42.C2central extension (φ=1)416C26.45(C4oD4)416,186
C26.46(C4○D4) = C13×C42⋊2C2central extension (φ=1)208C26.46(C4oD4)416,187

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁