Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| direct product | C2×#15688846 |
| Fitting | C2×C22⋊C8×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×#323 |
456 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 109 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
964 conjugacy classes — view the full character table.
| maximal subgroup of | #26106779, C4×#15688846, #26106787, … |
| maximal normal subgroup of | #26106779, C4×#15688846, #26106787, … |
| maximal quotient of | C2×#20241208, C2×#20241213, #26104228, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 2816);