Finite Group DatabasebetaFinite Group Databasebeta| order | 17504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic1094 |
| Sylow | C547 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17504 |
4388 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46854905, #46854906, #46854907, … |
| maximal normal subgroup of | #46854905, #46854906, #46854907, … |
| maximal quotient of | C22×Dic547⋊C4, C22×C4⋊Dic547, C2×C4×Dic1094, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17504, 186);