Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#16864385 |
| Fitting | C22×C8×C269 ⋊ C2 |
| Sylow | C269 ⋊ C22×M16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8608 |
4328 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46810577, #46810580, #46810603, … |
| maximal normal subgroup of | #46810577, #46810580, #46810603, … |
| maximal quotient of | C22×#22575363, C2×C4×#16864385, C22×#22575365, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 1308);