Finite Group DatabasebetaFinite Group Databasebeta| order | 1200 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C25 · Schur multiplier (H2) = C23 |
| direct product | C2×#67×C25 |
| Fitting | C23×C3×C25 ⋊ C2 |
| Hall | C3×C25 ⋊ C2×D4 |
| Sylow | C3 ⋊ C2×D4×C25 |
162 conjugacy classes of subgroups.
| transitive degree | μt(G) = 600 |
450 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1200, 168);