Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊#14555886 |
| Sylow | C281 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17984 |
4520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49093137, #49093138, #49093143, … |
| maximal normal subgroup of | #49093137, #49093138, #49093143, … |
| maximal quotient of | C2×#31823214, C2×#31823216, #49094051, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 570);