Finite Group DatabasebetaFinite Group Databasebeta| order | 11100 |
| isoclinism | isoclinic class of D3 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C25×C37 · Schur multiplier (H2) = C1 |
| direct product | Dic3×C25×C37 |
| unambiguous semidirect product | C3⋊(C4×C25×C37) |
| derived, Sylow | C3 ⋊ C4×C25×C37 |
| Hall | C3×C25×C37 ⋊ C4 |
| Hall | C3×C37 ⋊ C4×C25 |
| Hall | C3×C25 ⋊ C4×C37 |
36 conjugacy classes of subgroups.
5550 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C25×Dic9×C37, Dic3×C25×C37⋊C3, C3×Dic3×C25×C37, … |
| maximal normal subgroup of | Dic3×C25×C37⋊C3, C3×Dic3×C25×C37 |
| maximal quotient of | C25×Dic9×C37, C3×Dic3×C25×C37, C25×C3⋊Dic3×C37 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11100, 9);