Finite Group DatabasebetaFinite Group Databasebeta| order | 34624 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#31772585 |
| Fitting | C2×C42×C541 ⋊ C2 |
| Sylow | C541 ⋊ C2×#117 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17312 |
8680 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34624, 1003);