Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #137×#6923 |
| Fitting | #137×C61 ⋊ C4 |
| Sylow | C61 ⋊ C4×#137 |
484 conjugacy classes of subgroups.
209 conjugacy classes — view the full character table.
| maximal subgroup of | #455×#6923, #456×#6923, #30616908, … |
| maximal normal subgroup of | #455×#6923, #456×#6923, #30616908, … |
| maximal quotient of | #137×#92420, #30612310, #30612311, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 21266);