Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C8×Dic562 |
| Sylow | C281 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17984 |
4520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49093281, #49093283, C8×#17985126, … |
| maximal normal subgroup of | #49093281, #49093283, C8×#17985126, … |
| maximal quotient of | C8×C4⋊Dic281, C8×#17985117, #49095859, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 674);