Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×#22575360 |
| Sylow | C269 ⋊ C2×#95 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17216 |
4328 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46808727, #46808763, #46808765, … |
| maximal normal subgroup of | #46808727, #46808763, #46808765, … |
| maximal quotient of | C4×#22575360, #46809107, #46809108, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 393);