Finite Group DatabasebetaFinite Group Databasebeta| order | 30316 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C11×C13 · Schur multiplier (H2) = C1 |
| direct product | C11×Dic53⋊C13 |
| unambiguous semidirect product | Dic53⋊(C11×C13) |
| unambiguous semidirect product | (C11×Dic53)⋊C13 |
| derived, Sylow | C53 ⋊ C4×C11×C13 |
| Hall | C11×C53⋊C13 ⋊ C4 |
| Hall | C11×Dic53 ⋊ C13 |
| Hall | C53⋊C13 ⋊ C4×C11 |
| Hall | C11×C53 ⋊ C4×C13 |
| Hall | Dic53 ⋊ C11×C13 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2332 |
616 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30316, 10);