Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#16840118 |
| Fitting | C2×#103×C61 ⋊ C2 |
| Sylow | C61 ⋊ C2×#488 |
412 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 141 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 | #29687995, C4×#16840118, #29688006, … |
| maximal normal subgroup of | #29687995, C4×#16840118, #29688006, … |
| maximal quotient of | C2×#21445948, C2×#21446492, C2×#21446497, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 14827);