Finite Group DatabasebetaFinite Group Databasebeta| order | 16096 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#22548867 |
| Sylow | C503 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8048 |
4036 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44566037, C503⋊#338, #44566040, … |
| maximal normal subgroup of | #44566037, C503⋊#338, #44566040, … |
| maximal quotient of | C2×#30632775, C4×#22548867, C2×C22⋊(C503⋊C8), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16096, 151);