Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#13110094 |
| Fitting | C22×C8×C103 ⋊ C2 |
| Sylow | C103 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
1660 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27195477, #27195479, #27195498, … |
| maximal normal subgroup of | #27195477, #27195479, #27195498, … |
| maximal quotient of | C22×#15692943, C22×#15692946, C22×#15692953, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 1323);