Finite Group DatabasebetaFinite Group Databasebeta| order | 6400 |
| automorphism | ? |
| homology | Abelianization (H1) = C42×C8 · Schur multiplier (H2) = C2×C42 |
| direct product | #346×#1043 |
| Fitting | C52×#346 ⋊ C4 |
| Sylow | C52 ⋊ C4×#346 |
2040 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1600 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1043×#1313, #1043×#1368, #1043×#2177, … |
| maximal normal subgroup of | #1043×#1313, #1043×#1368, #1043×#2177, … |
Past the SmallGroups library coverage — no SmallGroups id.