Finite Group DatabasebetaFinite Group Databasebeta| order | 1600 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C5 · Schur multiplier (H2) = C23 |
| direct product | C5×#65525 |
| Sylow | C52 ⋊ #421 |
472 conjugacy classes of subgroups.
| transitive degree | μt(G) = 80 |
310 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #72221081, C5×#10602508, #72223357, … |
| maximal normal subgroup of | #72221081, C5×#10602508, #72223357, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1600, 4852);