Finite Group DatabasebetaFinite Group Databasebeta| order | 35204 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C13 · Schur multiplier (H2) = C2 |
| Fitting, socle | C2×C677 ⋊ C2×C13 |
| derived, Sylow | C677 ⋊ C22×C13 |
| Hall | C677⋊C13 ⋊ C22 |
| Hall | C2×D677 ⋊ C13 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C2 | D677⋊C13 |
| commutator, cosocle, hypocenter | C677 | C22×C13 |
| Frattini | C1 | G |
| Fitting, socle | C2×C677 | C2×C13 |
| LCS | G ▷ C677 | |
| UCS | C1 ◁ C2 | |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1354 |
104 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35204, 9);