Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | #97×D269 |
| Fitting | #97×C269 ⋊ C2 |
| Sylow | C269 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8608 |
2720 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #329×D269, #330×D269, #46809470, … |
| maximal normal subgroup of | #329×D269, #330×D269, #46809470, … |
| maximal quotient of | #322×D269, #46809171, #46809173, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 496);