Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C61 ⋊ #3381 |
338 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=eg,b^2=eg,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^60,d^b=de,f^c=fg,h^d=h^60875 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#3381, C2×#21458695, #30560475, … |
| maximal normal subgroup of | D61×#3381, C2×#21458695, #30560475, … |
| maximal quotient of | #29696610, #29696628, SD16×#11758196, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 17386);