Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C61 ⋊ #1822 |
272 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=f,b^2=g,c^2=d,f^2=g,b^a=bd,c^a=ce,e^a=eg,h^a=h^60,f^c=fg1232 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #29567047, #29567048, #29572514, … |
| maximal normal subgroup of | #29567047, #29567048, #29572514, … |
| maximal quotient of | #29573339, #29573342, #29573348, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 4593);