Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#22582803 |
| Sylow | C281 ⋊ C2×#103 |
162 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17984 |
2828 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#22582803, #103×Dic281, #49095133, … |
| maximal normal subgroup of | C4×#22582803, #103×Dic281, #49095133, … |
| maximal quotient of | C2×Q8⋊#14555886, #49093706, #49093732, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 540);