Finite Group DatabasebetaFinite Group Databasebeta| order | 1600 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C5 · Schur multiplier (H2) = C25 |
| direct product | C5×#65502 |
| Fitting | C23×C4×C52 ⋊ C2 |
| Sylow | C52 ⋊ #386 |
808 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
460 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #72223419 |
| maximal normal subgroup of | #72223419 |
| maximal quotient of | C5×#10602438, C5×#10602444 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1600, 4826);