Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#15689485 |
| Fitting | C2×C4⋊Q8×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×#489 |
436 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 149 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
676 conjugacy classes — view the full character table.
| maximal subgroup of | #26111190, #26111196, #26117572, … |
| maximal normal subgroup of | #26111190, #26111196, #26117572, … |
| maximal quotient of | C2×#20243523, C2×#20244077, C2×#20244084, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 14841);