Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | AGL(1,ℤ/8)×Dic61 |
| Sylow | C61 ⋊ C4×AGL(1,ℤ/8) |
548 conjugacy classes of subgroups.
704 conjugacy classes — view the full character table.
| maximal subgroup of | #453×Dic61, #29685890, #454×Dic61, … |
| maximal normal subgroup of | #453×Dic61, #29685890, #454×Dic61, … |
| maximal quotient of | AGL(1,ℤ/8)×#92418, #29649598, #29649621, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 13320);