Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#16864386 |
| Sylow | C269 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8608 |
4328 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46808721, #46808722, #46808734, … |
| maximal normal subgroup of | #46808721, #46808722, #46808734, … |
| maximal quotient of | C8×#16864386, #46809174, #46809182, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 502);