Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×#14519695 |
| Sylow | C61 ⋊ C4×#101 |
296 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 117 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1244 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #29570575, C8×#14519695, #29570585, … |
| maximal normal subgroup of | #29570575, C8×#14519695, #29570585, … |
| maximal quotient of | C4×#16839487, #29570528, #29570532, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 4307);