Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×#17985117 |
| Sylow | C281 ⋊ C22×C4⋊C4 |
418 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17984 |
4520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49093531, #49093534, #49093536, … |
| maximal normal subgroup of | #49093531, #49093534, #49093536, … |
| maximal quotient of | C22×#22582786, C2×C4×#17985117, C2×#31823321, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 999);