Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | #343×D47 |
| Fitting | C47×#343 ⋊ C2 |
| Sylow | C47 ⋊ C2×#343 |
432 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 145 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
550 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#1345, D47×#1346, #26126482, … |
| maximal normal subgroup of | D47×#1345, D47×#1346, #26126482, … |
| maximal quotient of | D47×#1280, #26105873, #26105876, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 4244);