Finite Group DatabasebetaFinite Group Databasebeta| order | 16096 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C503 ⋊ M32 |
26 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8048 |
Polycyclic presentation:
2^5,503|a^2=c,c^2=d,d^2=e,b^a=be,f^a=f^5024036 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44566058, #44566059, #44566062, … |
| maximal normal subgroup of | #44566058, #44566059, #44566062, … |
| maximal quotient of | #44566057, C22⋊(C503⋊C16), C4⋊(C503⋊C16), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16096, 86);