Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #101×D269 |
| Fitting | #101×C269 ⋊ C2 |
| Sylow | C269 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4304 |
1496 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #355×D269, #356×D269, #46812571, … |
| maximal normal subgroup of | #355×D269, #356×D269, #46812571, … |
| maximal quotient of | #324×D269, #46809207, #46809213, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 527);