Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C61 ⋊ #3233 |
332 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|b^2=eg,c^2=e,d^2=g,f^2=g,b^a=be,c^a=cf,d^a=de,f^a=fg,c^b=ce,h^b=h^60,f^c=fg602 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#3233, C2×#21456995, #30552099, … |
| maximal normal subgroup of | D61×#3233, C2×#21456995, #30552099, … |
| maximal quotient of | #29689519, #29689708, #29690555, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 15686);