Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#16840801 |
| unambiguous semidirect product | D61⋊#440 |
| Fitting | C2×SD16×C61 ⋊ C4 |
| Sylow | C61 ⋊ C2×#440 |
544 conjugacy classes of subgroups; only the 170 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 170 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
254 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#16840801, #440×#6923, #30614508, … |
| maximal normal subgroup of | C4×#16840801, #440×#6923, #30614508, … |
| maximal quotient of | C2×SD16⋊#92420, C2×#21461409, C2×#21461410, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 21261);