Finite Group DatabasebetaFinite Group Databasebeta| order | 28594 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C17 · Schur multiplier (H2) = C1 |
| direct product | C17×D841 |
| unambiguous semidirect product | C841⋊(C2×C17) |
| Fitting, Hall | C17×C841 ⋊ C2 |
| derived, Sylow | C841 ⋊ C2×C17 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C17 | D841 |
| commutator, cosocle, hypocenter | C841 | C2×C17 |
| Frattini | C29 | C17×D29 |
| Fitting | C17×C841 | C2 |
| socle | C17×C29 | D29 |
| LCS | G ▷ C841 | |
| UCS | C1 ◁ C17 | |
12 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14297 |
7174 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(28594, 3);