Finite Group DatabasebetaFinite Group Databasebeta| order | 15968 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊Dic499 |
| Sylow | C499 ⋊ C2×C4⋊C4 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15968 |
4004 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44542860, #44542861, #44542866, … |
| maximal normal subgroup of | #44542860, #44542861, #44542866, … |
| maximal quotient of | C2×C499⋊#95, C4×C4⋊Dic499, #44542958, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15968, 101);