Finite Group DatabasebetaFinite Group Databasebeta| order | 15968 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#22547801 |
| Sylow | C499 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15968 |
2504 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44543190, C4×#22547801, #44543202, … |
| maximal normal subgroup of | #44543190, C4×#22547801, #44543202, … |
| maximal quotient of | C2×#30630274, C2×#30630275, C2×#30630284, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15968, 163);