Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×AGL(1,ℤ/8)×C61 ⋊ C2 |
| Sylow | C61 ⋊ #3272 |
546 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|e^2=g,b^a=be,c^a=cf,e^a=eg,c^b=cg,d^b=de,e^b=eg,h^c=h^60,e^d=eg689 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#3272, C2×#21457413, #30555188, … |
| maximal normal subgroup of | D61×#3272, C2×#21457413, #30555188, … |
| maximal quotient of | #29671274, #29671351, #29671357, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 16104);