Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#13093969 |
| Fitting | C22×C16×C47 ⋊ C2 |
| Sylow | C47 ⋊ C22×SD32 |
400 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 400 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.
1516 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #26133341, #26133343, #26133348, … |
| maximal normal subgroup of | #26133341, #26133343, #26133348, … |
| maximal quotient of | C22×#15688925, C22×#15688928, C22×#15688951, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 17620);