Finite Group DatabasebetaFinite Group Databasebeta| order | 16096 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic1006 |
| Sylow | C503 ⋊ C4×Q8 |
70 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16096 |
4036 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44566011, #44566013, C4×#22548871, … |
| maximal normal subgroup of | #44566011, #44566013, C4×#22548871, … |
| maximal quotient of | C4×C4⋊Dic503, C4×Dic503⋊C4, #44566164, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16096, 112);