Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#14519847 |
| Sylow | C61 ⋊ C4×#108 |
228 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 98 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
536 conjugacy classes — view the full character table.
| maximal subgroup of | #30594292, #30594293, #30594301, … |
| maximal normal subgroup of | #30594292, #30594293, #30594301, … |
| maximal quotient of | C4×#16840623, C4×#16840626, #30598010, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 20327);