Finite Group DatabasebetaFinite Group Databasebeta| order | 10816 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×D4×#10621728 |
| Fitting | C2×D4×C132 ⋊ C4 |
| Sylow | C132 ⋊ C2×C4×D4 |
3408 conjugacy classes of subgroups; only the 422 normal subgroups are shown.
This group has 3408 conjugacy classes of subgroups — too many to draw. Only its 422 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1352 |
460 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×D4×#14523144, #72259289, #72259364 |
| maximal normal subgroup of | C2×D4×#14523144, #72259289, #72259364 |
Past the SmallGroups library coverage — no SmallGroups id.