Finite Group DatabasebetaFinite Group Databasebeta| order | 36928 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×D4×#14556313 |
| unambiguous semidirect product | D577⋊(C4×D4) |
| Fitting | C2×D4×C577 ⋊ C4 |
| Sylow | C577 ⋊ C2×C4×D4 |
426 conjugacy classes of subgroups; only the 156 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 156 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 4616 |
1480 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36928, 1613);