Finite Group DatabasebetaFinite Group Databasebeta| order | 2592 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | D4×#4178⋊C2 |
| Fitting | D4×#732 ⋊ C22 |
| Sylow | #732 ⋊ C22×D4 |
1261 conjugacy classes of subgroups; only the 134 normal subgroups are shown.
This group has 1261 conjugacy classes of subgroups — too many to draw. Only its 134 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 108 |
85 conjugacy classes — view the full character table.
| maximal subgroup of | D4×(#4178⋊C2)⋊C3 |
| maximal normal subgroup of | D4×(#4178⋊C2)⋊C3 |
Past the SmallGroups library coverage — no SmallGroups id.