Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C2×#16839954 |
| Fitting | C2×#127×C61 ⋊ C2 |
| Sylow | C61 ⋊ C2×#459 |
648 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 648 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 | #29574771, #29574777, #29574792, … |
| maximal normal subgroup of | #29574771, #29574777, #29574792, … |
| maximal quotient of | C2×#21445157, C2×#21445171, C2×#21445181, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 13919);