Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#16864412 |
| Sylow | C269 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8608 |
1112 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46825716, #46825717, #46825746, … |
| maximal normal subgroup of | #46825716, #46825717, #46825746, … |
| maximal quotient of | C8×#16864412, #46826095, #46826105, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 1511);