Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#16839765 |
| Fitting | C2×#102×C61 ⋊ C2 |
| Sylow | C61 ⋊ C2×#418 |
1008 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 1008 conjugacy classes of subgroups — too many to draw. Only its 229 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
884 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#16839765, #29677789, #29677821, … |
| maximal normal subgroup of | C4×#16839765, #29677789, #29677821, … |
| maximal quotient of | C2×#21444208, C2×#21444260, #29646450, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 13009);