Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#22575398 |
| Fitting | C2×C16×C269 ⋊ C2 |
| Sylow | C269 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8608 |
4310 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46812736, C4×#22575398, #46812748, … |
| maximal normal subgroup of | #46812736, C4×#22575398, #46812748, … |
| maximal quotient of | C2×#31770407, C2×#31770410, C2×#31770433, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 974);