Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#16840010 |
| Fitting | C2×C22⋊Q8×C61 ⋊ C2 |
| Sylow | C61 ⋊ C2×#468 |
544 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 157 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
872 conjugacy classes — view the full character table.
| maximal subgroup of | #29686639, C4×#16840010, #29686676, … |
| maximal normal subgroup of | #29686639, C4×#16840010, #29686676, … |
| maximal quotient of | C2×#21445286, C2×#21445320, C2×#21445354, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 14100);