Finite Group DatabasebetaFinite Group Databasebeta| order | 17504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#22576766 |
| Sylow | C547 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17504 |
2744 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46855093, C4×#22576766, #46855105, … |
| maximal normal subgroup of | #46855093, C4×#22576766, #46855105, … |
| maximal quotient of | C2×#31775925, C2×#31775926, C2×#31775935, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17504, 163);