Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C61 ⋊ #2911 |
492 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=f,b^2=e,d^2=g,e^2=g,b^a=be,e^a=eg,c^b=cg,h^b=h^601244 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #29586084, #29586086, #29586087, … |
| maximal normal subgroup of | #29586084, #29586086, #29586087, … |
| maximal quotient of | #29648996, #29649035, #29649047, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 13099);