Finite Group DatabasebetaFinite Group Databasebeta| order | 28515 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C5 · Schur multiplier (H2) = C1 |
| direct product | C3×C1901⋊C5 |
| unambiguous semidirect product | C1901⋊(C3×C5) |
| unambiguous semidirect product | (C3×C1901)⋊C5 |
| Fitting, socle, Hall | C3×C1901 ⋊ C5 |
| derived, Sylow | C1901 ⋊ C3×C5 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C3 | C1901⋊C5 |
| commutator, cosocle, hypocenter | C1901 | C3×C5 |
| Frattini | C1 | G |
| Fitting, socle | C3×C1901 | C5 |
| LCS | G ▷ C1901 | |
| UCS | C1 ◁ C3 | |
8 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5703 |
1155 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(28515, 1);