Finite Group DatabasebetaFinite Group Databasebeta| order | 23660 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C5 · Schur multiplier (H2) = C1 |
| direct product | C5×#17990042 |
| derived, Hall | C132⋊C7 ⋊ C4×C5 |
| Hall | C5×C132⋊C7 ⋊ C4 |
| Hall | C5×C132 ⋊ Dic7 |
| Sylow | C132 ⋊ C5×Dic7 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1820 |
350 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23660, 37);