Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | #97×D281 |
| Fitting | #97×C281 ⋊ C2 |
| Sylow | C281 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8992 |
2840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #329×D281, #330×D281, #49093888, … |
| maximal normal subgroup of | #329×D281, #330×D281, #49093888, … |
| maximal quotient of | #322×D281, #49093589, #49093591, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 496);