Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×#16840636 |
| Fitting | C22×C8×C61 ⋊ C4 |
| Sylow | C61 ⋊ C2×#340 |
512 conjugacy classes of subgroups; only the 186 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 186 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 | #30594576, #30594578, #30594594, … |
| maximal normal subgroup of | #30594576, #30594578, #30594594, … |
| maximal quotient of | C2×#21460649, #30596088, #30596097, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 20194);