Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#15689233 |
| Fitting | C2×C4×D4×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×#442 |
608 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 608 conjugacy classes of subgroups — too many to draw. Only its 205 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 | #26111700, #26111701, #26111703, … |
| maximal normal subgroup of | #26111700, #26111701, #26111703, … |
| maximal quotient of | C2×#20242210, C2×#20242250, C2×#20242252, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13301);