Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#16839501 |
| Fitting | C2×#97×C61 ⋊ C2 |
| Sylow | C61 ⋊ C2×#329 |
284 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 85 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1238 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #29570926, C4×#16839501, #29570934, … |
| maximal normal subgroup of | #29570926, C4×#16839501, #29570934, … |
| maximal quotient of | C2×#21443639, C2×#21443644, #29567980, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 3090);