Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #137×Dic61 |
| Sylow | C61 ⋊ C4×#137 |
484 conjugacy classes of subgroups.
704 conjugacy classes — view the full character table.
| maximal subgroup of | #455×Dic61, #29685901, #456×Dic61, … |
| maximal normal subgroup of | #455×Dic61, #29685901, #456×Dic61, … |
| maximal quotient of | #137×#92418, #29649609, #29649632, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 13331);