Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic1076 |
| Sylow | C269 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17216 |
4316 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46808848, #46808850, #46808854, … |
| maximal normal subgroup of | #46808848, #46808850, #46808854, … |
| maximal quotient of | C8×Dic1076, #46809737, #46809783, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 645);