Finite Group DatabasebetaFinite Group Databasebeta| order | 1600 |
| isoclinism | isoclinic class of #6045 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27×C5 |
| direct product | C22×C22⋊#1039 |
| Sylow | C52 ⋊ C22×C22⋊C4 |
2696 conjugacy classes of subgroups.
| transitive degree | μt(G) = 800 |
424 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1600, 9719);