Finite Group DatabasebetaFinite Group Databasebeta| order | 15372 |
| isoclinism | isoclinic class of D7 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9×C61 · Schur multiplier (H2) = C1 |
| direct product | C9×Dic7×C61 |
| derived, Sylow | C7 ⋊ C4×C9×C61 |
| Hall | C7×C9×C61 ⋊ C4 |
| Hall | C7×C61 ⋊ C4×C9 |
| Hall | C7×C9 ⋊ C4×C61 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15372 |
5490 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15372, 7);