Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C61 ⋊ #1290 |
136 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=d,b^2=e,c^2=fg,d^2=f,e^2=fg,b^a=bc,c^a=cf,e^a=efg,h^a=h^60,d^b=dg1232 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #29566698, #29566699, #29566701, … |
| maximal normal subgroup of | #29566698, #29566699, #29566701, … |
| maximal quotient of | #29566551, #29566559, #29566600, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 2380);