Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×#13110095 |
| Sylow | C103 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
1048 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27193948, C8×#13110095, #27193960, … |
| maximal normal subgroup of | #27193948, C8×#13110095, #27193960, … |
| maximal quotient of | C8×#13110095, #27193992, #27193994, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 642);