Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #106×D281 |
| Fitting | #106×C281 ⋊ C2 |
| Sylow | C281 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8992 |
1988 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #360×D281, #365×D281 |
| maximal normal subgroup of | #360×D281, #365×D281 |
| maximal quotient of | #334×D281, #49094057, #49094072, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 578);