Finite Group DatabasebetaFinite Group Databasebeta| order | 35828 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C169 · Schur multiplier (H2) = C1 |
| direct product | C169×#6157 |
| Fitting, Hall | C53×C169 ⋊ C4 |
| derived, Sylow | C53 ⋊ C4×C169 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C169 | #6157 |
| commutator, hypocenter | C53 | C4×C169 |
| Frattini | C13 | C13×#6157 |
| Fitting | C53×C169 | C4 |
| socle | C13×C53 | C4×C13 |
| prime radical, cosocle | C13×D53 | C2×C13 |
| LCS | G ▷ C53 | |
| UCS | C1 ◁ C169 | |
18 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8957 |
2873 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35828, 11);