Finite Group DatabasebetaFinite Group Databasebeta| order | 15712 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4⋊C4×D491 |
| Fitting | C4⋊C4×C491 ⋊ C2 |
| Sylow | C491 ⋊ C2×C4⋊C4 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7856 |
2470 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #102×D491, #103×D491, #44536723, … |
| maximal normal subgroup of | #102×D491, #103×D491, #44536723, … |
| maximal quotient of | #95×D491, #44536576, C4⋊C4×Dic491, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15712, 99);