Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#15688906 |
| Fitting | C22×C16×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×#350 |
224 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 93 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1528 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #26131325, C4×#15688906, #26131330, … |
| maximal normal subgroup of | #26131325, C4×#15688906, #26131330, … |
| maximal quotient of | C2×#20241313, #26125352, C2×#20241329, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 6133);