Finite Group DatabasebetaFinite Group Databasebeta| order | 16736 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#22552625 |
| Sylow | C523 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8368 |
4196 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45689961, C523⋊#338, #45689964, … |
| maximal normal subgroup of | #45689961, C523⋊#338, #45689964, … |
| maximal quotient of | C2×#30660284, C4×#22552625, C2×C22⋊(C523⋊C8), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16736, 151);