Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#15688929 |
| Fitting | C2×#108×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×#359 |
224 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 85 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
688 conjugacy classes — view the full character table.
| maximal subgroup of | #26131501, C4×#15688929, #26131506, … |
| maximal normal subgroup of | #26131501, C4×#15688929, #26131506, … |
| maximal quotient of | C2×#20241348, C2×#20241351, #26126016, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 6233);