Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#22575377 |
| Sylow | C269 ⋊ C2×#103 |
162 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17216 |
2708 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#22575377, #103×Dic269, #46810715, … |
| maximal normal subgroup of | C4×#22575377, #103×Dic269, #46810715, … |
| maximal quotient of | C2×Q8⋊#14524130, #46809288, #46809314, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 540);