Finite Group DatabasebetaFinite Group Databasebeta| order | 16096 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C503 ⋊ C22⋊Q8 |
74 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8048 |
Polycyclic presentation:
2^5,503|a^2=d,b^2=d,b^a=bd,c^a=ce,f^a=f^5024030 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44566017, #44566019, #44566432, … |
| maximal normal subgroup of | #44566017, #44566019, #44566432, … |
| maximal quotient of | #44566141, #44566154, #44566165, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16096, 125);