Finite Group DatabasebetaFinite Group Databasebeta| order | 1200 |
| isoclinism | isoclinic class of #677 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C5 · Schur multiplier (H2) = C2 |
| direct product | C3×C5×D40 |
| Fitting | C3×C52×C8 ⋊ C2 |
| Hall | C3×C52 ⋊ D8 |
| Sylow | C52 ⋊ C3×D8 |
104 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
345 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1200, 388);