Finite Group DatabasebetaFinite Group Databasebeta| order | 15968 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#22547800 |
| Fitting | C2×C8×C499 ⋊ C2 |
| Sylow | C499 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7984 |
3998 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44543185, C4×#22547800, #44543197, … |
| maximal normal subgroup of | #44543185, C4×#22547800, #44543197, … |
| maximal quotient of | C2×#30630273, C2×#30630276, C2×#30630283, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15968, 161);