Finite Group DatabasebetaFinite Group Databasebeta| order | 37504 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C32 · Schur multiplier (H2) = C23 |
| direct product | C2×D293⋊C32 |
| unambiguous semidirect product | D293⋊(C2×C32) |
| derived, Sylow | C293 ⋊ C22×C32 |
120 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18752 |
2464 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(37504, 20929);