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

Extensions 1→N→G→Q→1 with N=C102 and Q=C4

Direct product G=N×Q with N=C102 and Q=C4
dρLabelID
C2×C10×C20400C2xC10xC20400,201

Semidirect products G=N:Q with N=C102 and Q=C4
extensionφ:Q→Aut NdρLabelID
C102⋊1C4 = C5×C22⋊F5φ: C4/C1 → C4 ⊆ Aut C102404C10^2:1C4400,141
C102⋊2C4 = D10.D10φ: C4/C1 → C4 ⊆ Aut C102404C10^2:2C4400,148
C102⋊3C4 = C102⋊C4φ: C4/C1 → C4 ⊆ Aut C102100C10^2:3C4400,155
C102⋊4C4 = C102⋊4C4φ: C4/C1 → C4 ⊆ Aut C102204+C10^2:4C4400,162
C102⋊5C4 = F5×C2×C10φ: C4/C1 → C4 ⊆ Aut C10280C10^2:5C4400,214
C102⋊6C4 = C22×D5.D5φ: C4/C1 → C4 ⊆ Aut C10280C10^2:6C4400,215
C102⋊7C4 = C22×C5⋊F5φ: C4/C1 → C4 ⊆ Aut C102100C10^2:7C4400,216
C102⋊8C4 = C22×C52⋊C4φ: C4/C1 → C4 ⊆ Aut C10240C10^2:8C4400,217
C102⋊9C4 = C22⋊C4×C52φ: C4/C2 → C2 ⊆ Aut C102200C10^2:9C4400,109
C102⋊10C4 = C5×C23.D5φ: C4/C2 → C2 ⊆ Aut C10240C10^2:10C4400,91
C102⋊11C4 = C102⋊11C4φ: C4/C2 → C2 ⊆ Aut C102200C10^2:11C4400,107
C102⋊12C4 = Dic5×C2×C10φ: C4/C2 → C2 ⊆ Aut C10280C10^2:12C4400,189
C102⋊13C4 = C22×C52⋊6C4φ: C4/C2 → C2 ⊆ Aut C102400C10^2:13C4400,199

Non-split extensions G=N.Q with N=C102 and Q=C4
extensionφ:Q→Aut NdρLabelID
C102.1C4 = C10×C5⋊C8φ: C4/C1 → C4 ⊆ Aut C10280C10^2.1C4400,139
C102.2C4 = C5×C22.F5φ: C4/C1 → C4 ⊆ Aut C102404C10^2.2C4400,140
C102.3C4 = C2×C52⋊3C8φ: C4/C1 → C4 ⊆ Aut C10280C10^2.3C4400,146
C102.4C4 = C102.C4φ: C4/C1 → C4 ⊆ Aut C102404C10^2.4C4400,147
C102.5C4 = C2×C52⋊4C8φ: C4/C1 → C4 ⊆ Aut C102400C10^2.5C4400,153
C102.6C4 = C52⋊13M4(2)φ: C4/C1 → C4 ⊆ Aut C102200C10^2.6C4400,154
C102.7C4 = C2×C52⋊5C8φ: C4/C1 → C4 ⊆ Aut C10280C10^2.7C4400,160
C102.8C4 = C52⋊14M4(2)φ: C4/C1 → C4 ⊆ Aut C102404-C10^2.8C4400,161
C102.9C4 = M4(2)×C52φ: C4/C2 → C2 ⊆ Aut C102200C10^2.9C4400,112
C102.10C4 = C10×C5⋊2C8φ: C4/C2 → C2 ⊆ Aut C10280C10^2.10C4400,81
C102.11C4 = C5×C4.Dic5φ: C4/C2 → C2 ⊆ Aut C102402C10^2.11C4400,82
C102.12C4 = C2×C52⋊7C8φ: C4/C2 → C2 ⊆ Aut C102400C10^2.12C4400,97
C102.13C4 = C20.59D10φ: C4/C2 → C2 ⊆ Aut C102200C10^2.13C4400,98

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁