Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#22582808 |
| Sylow | C281 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17984 |
4520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49093242, #49095151, C4×#22582808, … |
| maximal normal subgroup of | #49093242, #49095151, C4×#22582808, … |
| maximal quotient of | C2×#31823213, C2×#31823215, #49094049, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 569);