Finite Group DatabasebetaFinite Group Databasebeta| order | 17504 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#22576760 |
| Sylow | C547 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8752 |
4388 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46854757, C547⋊#338, #46854760, … |
| maximal normal subgroup of | #46854757, C547⋊#338, #46854760, … |
| maximal quotient of | C2×#31775913, C4×#22576760, C2×C22⋊(C547⋊C8), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17504, 151);