Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C27 |
| direct product | C2×#16839894 |
| Fitting | C22×D8×C61 ⋊ C2 |
| Sylow | C61 ⋊ C2×#447 |
1048 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 1048 conjugacy classes of subgroups — too many to draw. Only its 173 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
878 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#16839894, #29685585, #29685652, … |
| maximal normal subgroup of | C4×#16839894, #29685585, #29685652, … |
| maximal quotient of | C2×#21444735, C2×#21444803, C2×#21444752, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 13684);