Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#15692941 |
| Fitting | C2×C4⋊C4×C103 ⋊ C2 |
| Sylow | C103 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
1048 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27194958, C4×#15692941, #27194968, … |
| maximal normal subgroup of | #27194958, C4×#15692941, #27194968, … |
| maximal quotient of | C2×#20267518, #27193542, #27193568, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 535);