Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#22575521 |
| unambiguous semidirect product | D269⋊#106 |
| Fitting | C2×C8×C269 ⋊ C4 |
| Sylow | C269 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4304 |
1100 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46825950, #46825951, #46825956, … |
| maximal normal subgroup of | #46825950, #46825951, #46825956, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 1557);