Finite Group DatabasebetaFinite Group Databasebeta| order | 1600 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C5 · Schur multiplier (H2) = C23 |
| direct product | C5×#65110 |
| Fitting | C52×#104 ⋊ C2 |
| Sylow | C52 ⋊ #421 |
352 conjugacy classes of subgroups.
| transitive degree | μt(G) = 80 |
250 conjugacy classes — view the full character table.
| maximal subgroup of | #72221783 |
| maximal normal subgroup of | #72221783 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1600, 4434);