Finite Group DatabasebetaFinite Group Databasebeta| order | 17536 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C16 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×#17984183 |
| derived, Sylow | C137 ⋊ C2×C4×C16 |
216 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8768 |
400 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17536, 21663);