Finite Group DatabasebetaFinite Group Databasebeta| order | 15968 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic998 |
| Sylow | C499 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15968 |
4004 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44543002, #44543003, #44543004, … |
| maximal normal subgroup of | #44543002, #44543003, #44543004, … |
| maximal quotient of | C22×Dic499⋊C4, C22×C4⋊Dic499, C2×C4×Dic998, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15968, 186);