Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×C4×#10625337 |
| Sylow | C47 ⋊ C2×C4×Q16 |
488 conjugacy classes of subgroups; only the 221 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 221 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
976 conjugacy classes — view the full character table.
| maximal subgroup of | #26110843, #26110844, #26110846, … |
| maximal normal subgroup of | #26110843, #26110844, #26110846, … |
| maximal quotient of | C2×C8×#10625337, C2×#20242236, C2×#20242238, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13273);