Finite Group DatabasebetaFinite Group Databasebeta| order | 5408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C13 · Schur multiplier (H2) = C22 |
| direct product | C13×#88186 |
| Fitting | C2×D4×C132 ⋊ C2 |
| Sylow | C132 ⋊ AGL(1,ℤ/8) |
298 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 298 conjugacy classes of subgroups — too many to draw. Only its 58 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 104 |
923 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #72259277, #72259483 |
| maximal normal subgroup of | #72259277, #72259483 |
Past the SmallGroups library coverage — no SmallGroups id.