Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#22575385 |
| Sylow | C269 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17216 |
4316 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46808984, #46808985, #46808990, … |
| maximal normal subgroup of | #46808984, #46808985, #46808990, … |
| maximal quotient of | C2×#31770356, #46809641, #46809656, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 580);