Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#13094046 |
| Fitting | C2×C4×C8×C47 ⋊ C2 |
| Sylow | C47 ⋊ C4×#135 |
500 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 197 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1528 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #26126016, #26126019, #26126021, … |
| maximal normal subgroup of | #26126016, #26126019, #26126021, … |
| maximal quotient of | C8×#13094046, #26185811, #26186029, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13284);