Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#22575376 |
| 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 | #46810704, C4×#22575376, #46810714, … |
| maximal normal subgroup of | #46810704, C4×#22575376, #46810714, … |
| maximal quotient of | C2×#31770335, #46809287, #46809313, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 539);