Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×#17985117 |
| Sylow | C281 ⋊ C4×C4⋊C4 |
194 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17984 |
4520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49095164, C8×#17985117, #49095169, … |
| maximal normal subgroup of | #49095164, C8×#17985117, #49095169, … |
| maximal quotient of | C4×#22582786, #49093529, #49093531, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 402);