Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C61 ⋊ #2153 |
152 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=e,b^2=d,d^2=g,e^2=f,f^2=g,b^a=bd,d^a=dg,h^a=h^11,c^b=cg,h^e=h^60344 conjugacy classes — view the full character table.
| maximal subgroup of | #30607316, #30607318, #30607353, … |
| maximal normal subgroup of | #30607316, #30607318, #30607353, … |
| maximal quotient of | #30605747, #30605773, #30605803, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 20851);