Finite Group DatabasebetaFinite Group Databasebeta| order | 17504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#22576764 |
| Sylow | C547 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8752 |
2744 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#22576764, #46855092, #46855098, … |
| maximal normal subgroup of | C4×#22576764, #46855092, #46855098, … |
| maximal quotient of | C2×#31775923, C2×#31775925, C2×#31775933, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17504, 160);