Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C22×C22⋊Dic281 |
| Sylow | C281 ⋊ C22×C22⋊C4 |
674 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8992 |
4520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49093525, #49093526, #49093540, … |
| maximal normal subgroup of | #49093525, #49093526, #49093540, … |
| maximal quotient of | C22×#22582786, C2×C4×C22⋊Dic281, C2×#31823319, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 997);