Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C61 ⋊ #3172 |
364 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=g,c^2=f,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,c^b=cg,h^d=h^60512 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#3172, C2×#21456418, #30549794, … |
| maximal normal subgroup of | D61×#3172, C2×#21456418, #30549794, … |
| maximal quotient of | #29680561, #29684250, #29684252, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 15109);