Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#22582866 |
| Sylow | C281 ⋊ C2×#124 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8992 |
2828 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49095689, #49095691, #49095703, … |
| maximal normal subgroup of | #49095689, #49095691, #49095703, … |
| maximal quotient of | C2×#31823328, C2×#31823357, C2×#31823366, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 1065);