Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C2×#15689305 |
| Fitting | C2×C4⋊Q8×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×#456 |
708 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 708 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.
676 conjugacy classes — view the full character table.
| maximal subgroup of | #26133623, #26133625, #26133633, … |
| maximal normal subgroup of | #26133623, #26133625, #26133633, … |
| maximal quotient of | C2×#20242349, C2×#20242383, C2×#20242356, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13851);