Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | #102×#1043 |
| Fitting | C52×#102 ⋊ C4 |
| Sylow | C52 ⋊ C4×#102 |
1584 conjugacy classes of subgroups; only the 190 normal subgroups are shown.
This group has 1584 conjugacy classes of subgroups — too many to draw. Only its 190 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
140 conjugacy classes — view the full character table.
| maximal subgroup of | #442×#1043, #486×#1043, #469×#1043, … |
| maximal normal subgroup of | #442×#1043, #486×#1043, #469×#1043, … |
| maximal quotient of | #357×#1043, #72242338, C2×#102×#1043, … |
Past the SmallGroups library coverage — no SmallGroups id.