Finite Group DatabasebetaFinite Group Databasebeta| order | 15968 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C499 ⋊ #97 |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15968 |
Polycyclic presentation:
2^5,499|a^2=c,b^2=d,c^2=e,b^a=be,f^b=f^4984004 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44542875, #97×D499, C2×#30630261, … |
| maximal normal subgroup of | #44542875, #97×D499, C2×#30630261, … |
| maximal quotient of | #44542819, #44542820, #44542852, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15968, 56);