Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#22575392 |
| Fitting | C2×C16×C269 ⋊ C2 |
| Sylow | C269 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8608 |
4328 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46809024, C4×#22575392, #46812478, … |
| maximal normal subgroup of | #46809024, C4×#22575392, #46812478, … |
| maximal quotient of | C2×#31770380, C4×#22575392, C2×#31770384, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 963);