Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic488 |
| Sylow | C61 ⋊ C22×Q32 |
360 conjugacy classes of subgroups.
1964 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #29597090, #29597092, #29597125, … |
| maximal normal subgroup of | #29597090, #29597092, #29597125, … |
| maximal quotient of | C22×#16839567, C22×#16839588, C2×C4×Dic488, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 17623);