Finite Group DatabasebetaFinite Group Databasebeta| order | 18976 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic1186 |
| Sylow | C593 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18976 |
4756 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49182619, #49182620, #49182621, … |
| maximal normal subgroup of | #49182619, #49182620, #49182621, … |
| maximal quotient of | C22×#23748712, C22×C4⋊Dic593, C2×C4×Dic1186, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18976, 186);