Finite Group DatabasebetaFinite Group Databasebeta| order | 18976 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#23748712 |
| Sylow | C593 ⋊ C2×C4⋊C4 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18976 |
4756 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49182440, #49182566, C4×#23748712, … |
| maximal normal subgroup of | #49182440, #49182566, C4×#23748712, … |
| maximal quotient of | C2×#34039192, C4×#23748712, #49182573, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18976, 100);