Finite Group DatabasebetaFinite Group Databasebeta| order | 15952 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C997 ⋊ SD16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7976 |
Polycyclic presentation:
2^4,997|a^2=d,c^2=d,b^a=bc,c^a=cd,e^a=e^996,c^b=cd2497 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD16×D997, C2×#30630116, #44542320, … |
| maximal normal subgroup of | SD16×D997, C2×#30630116, #44542320, … |
| maximal quotient of | #44542222, #44542224, #44542232, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15952, 28);