Finite Group DatabasebetaFinite Group Databasebeta| order | 11900 |
| isoclinism | isoclinic class of #595 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C7×C25 · Schur multiplier (H2) = C1 |
| direct product | C7×C25×#595 |
| Fitting, Hall | C7×C17×C25 ⋊ C4 |
| derived, Sylow | C17 ⋊ C4×C7×C25 |
| Hall | C17×C25 ⋊ C4×C7 |
| Hall | C7×C17 ⋊ C4×C25 |
36 conjugacy classes of subgroups.
1400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | ΓL(1,𝔽8)×C25×#595, C3×C7×C25×#595, C7×C25×C3⋊#595 |
| maximal normal subgroup of | ΓL(1,𝔽8)×C25×#595, C3×C7×C25×#595 |
| maximal quotient of | C3×C7×C25×#595, C7×C25×C3⋊#595 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11900, 10);