Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#15692954 |
| Sylow | C103 ⋊ C2×#107 |
130 conjugacy classes of subgroups.
1048 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27195036, C4×#15692954, #27195040, … |
| maximal normal subgroup of | #27195036, C4×#15692954, #27195040, … |
| maximal quotient of | C2×#20267543, #27193902, #27193918, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 582);