Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#22575441 |
| Fitting | C2×C42×C269 ⋊ C2 |
| Sylow | C269 ⋊ C2×#124 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8608 |
4316 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46809236, #46809238, C2×#31770344, … |
| maximal normal subgroup of | #46809236, #46809238, C2×#31770344, … |
| maximal quotient of | C2×#31770471, C2×#31770496, C2×#31770507, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 1066);