Finite Group DatabasebetaFinite Group Databasebeta| order | 6400 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C42 · Schur multiplier (H2) = C29×C4 |
| direct product | C2×C4×D4×#1043 |
| Fitting | C2×C4×C52×D4 ⋊ C4 |
| Sylow | C52 ⋊ C2×C42×D4 |
22776 conjugacy classes of subgroups.
| transitive degree | μt(G) = 800 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#442×#1043 |
| maximal normal subgroup of | C2×#442×#1043 |
| maximal quotient of | C2×#442×#1043, C2×#444×#1043 |
Past the SmallGroups library coverage — no SmallGroups id.