Finite Group DatabasebetaFinite Group Databasebeta| order | 1200 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22×C5 |
| direct product | C2×#10597155 |
| Hall | C3×C52 ⋊ C2×Q8 |
| Sylow | C52 ⋊ C2×Dic6 |
| Sylow | C3 ⋊ C2×#6045 |
304 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1200 |
306 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1200, 925);