Finite Group DatabasebetaFinite Group Databasebeta| order | 27588 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C19 · Schur multiplier (H2) = C1 |
| direct product | C19×#13089712 |
| derived, Hall | C112⋊C3 ⋊ C4×C19 |
| Hall | C19×C112⋊C3 ⋊ C4 |
| Hall | C112×C19 ⋊ Dic3 |
| Sylow | C112 ⋊ Dic3×C19 |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2508 |
1444 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(27588, 41);