Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#16864391 |
| Fitting | C22×C8×C269 ⋊ C2 |
| Sylow | C269 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8608 |
4316 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46811218, #46811220, #46811239, … |
| maximal normal subgroup of | #46811218, #46811220, #46811239, … |
| maximal quotient of | C22×#22575375, C22×#22575378, C22×#22575385, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 1323);