Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#15688931 |
| Fitting | C22×C16×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×#359 |
224 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 85 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 | #26131501, C4×#15688931, #26131506, … |
| maximal normal subgroup of | #26131501, C4×#15688931, #26131506, … |
| maximal quotient of | C2×#20241350, C2×#20241353, #26126019, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 6235);