Finite Group DatabasebetaFinite Group Databasebeta| order | 17504 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#22576759 |
| Fitting | C2×C8×C547 ⋊ C2 |
| 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 | #46854782, C4×#22576759, #46854953, … |
| maximal normal subgroup of | #46854782, C4×#22576759, #46854953, … |
| maximal quotient of | C2×#31775912, C4×#22576759, C2×(C2×D547)⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17504, 150);