Finite Group DatabasebetaFinite Group Databasebeta| order | 18976 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#23748721 |
| Sylow | C593 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9488 |
2974 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#23748721, #49182806, #49182812, … |
| maximal normal subgroup of | C4×#23748721, #49182806, #49182812, … |
| maximal quotient of | C2×#34039206, C2×#34039208, C2×#34039216, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18976, 160);