Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#22575514 |
| Sylow | C269 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8608 |
1094 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46825982, #46825983 |
| maximal normal subgroup of | #46825982, #46825983 |
| maximal quotient of | C2×#31771450, C2×#31771451, #46826127 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 1533);