Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#14519847 |
| Sylow | C61 ⋊ C22×#108 |
480 conjugacy classes of subgroups; only the 218 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 218 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
536 conjugacy classes — view the full character table.
| maximal subgroup of | #30602798, #30602803, #30602814, … |
| maximal normal subgroup of | #30602798, #30602803, #30602814, … |
| maximal quotient of | C22×#16840623, C22×#16840626, C2×#21461367, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 21166);