Finite Group DatabasebetaFinite Group Databasebeta| order | 16736 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C523 ⋊ M32 |
26 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8368 |
Polycyclic presentation:
2^5,523|a^2=c,c^2=d,d^2=e,b^a=be,f^a=f^5224196 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45689982, #45689983, #45689986, … |
| maximal normal subgroup of | #45689982, #45689983, #45689986, … |
| maximal quotient of | #45689981, C22⋊(C523⋊C16), C4⋊(C523⋊C16), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16736, 86);