Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#16840803 |
| unambiguous semidirect product | D61⋊#442 |
| Fitting | C2×D8×C61 ⋊ C4 |
| Sylow | C61 ⋊ C2×#442 |
608 conjugacy classes of subgroups; only the 170 normal subgroups are shown.
This group has 608 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 | #30606624, #30606625, #30606626, … |
| maximal normal subgroup of | #30606624, #30606625, #30606626, … |
| maximal quotient of | C2×#21461415, C2×#21461416, D61⋊#1580, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 21263);