Finite Group DatabasebetaFinite Group Databasebeta| order | 1200 |
| isoclinism | isoclinic class of #1035 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C8 · Schur multiplier (H2) = C2 |
| direct product | C2×C3×#6016 |
| derived, Sylow | C25 ⋊ C2×C3×C8 |
| Hall | C3×C25 ⋊ C2×C8 |
66 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1200 |
120 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1200, 109);