Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#22582797 |
| Sylow | C281 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8992 |
2822 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49095098, C4×#22582797, #49095225, … |
| maximal normal subgroup of | #49095098, C4×#22582797, #49095225, … |
| maximal quotient of | C2×#31823188, #49093626, #49093632, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 528);