Finite Group DatabasebetaFinite Group Databasebeta| order | 15968 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#22547795 |
| Sylow | C499 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7984 |
4004 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44542854, C499⋊#338, #44542857, … |
| maximal normal subgroup of | #44542854, C499⋊#338, #44542857, … |
| maximal quotient of | C2×#30630262, C4×#22547795, C2×C22⋊(C499⋊C8), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15968, 151);