Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C61 ⋊ #1372 |
70 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=d,b^2=ceg,c^2=eg,d^2=f,e^2=g,b^a=bc,c^a=ce,e^a=eg,h^a=h^11,h^b=h^60,h^d=h^60524 conjugacy classes — view the full character table.
| maximal subgroup of | #30595042, #30595043, #30595050, … |
| maximal normal subgroup of | #30595042, #30595043, #30595050, … |
| maximal quotient of | #30594105, #30594231, #30595076, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 19544);