Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#15689496 |
| Fitting | C2×C4×C8×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×#492 |
656 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 656 conjugacy classes of subgroups — too many to draw. Only its 213 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1516 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #26111566, #26111571, #26115510, … |
| maximal normal subgroup of | #26111566, #26111571, #26115510, … |
| maximal quotient of | C2×#20242975, C2×#20242980, C2×#20242985, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 14917);