Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | Q8×#10625334 |
| Fitting | D4×Q8×C47 ⋊ C2 |
| Sylow | C47 ⋊ Q8×D8 |
404 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 404 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.
610 conjugacy classes — view the full character table.
| maximal subgroup of | #26205648, #26205649, #26205655, … |
| maximal normal subgroup of | #26205648, #26205649, #26205655, … |
| maximal quotient of | Q8×#13093944, Q8×#13093945, C4⋊C4×#10625334, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 17361);