Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#13110092 |
| Fitting | C22×Q8×C103 ⋊ C2 |
| Sylow | C103 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
1048 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27195475, #27195481, #27195497, … |
| maximal normal subgroup of | #27195475, #27195481, #27195497, … |
| maximal quotient of | C22×#15692941, C22×#15692945, C22×#15692952, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 1321);