Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C61×#428 ⋊ C2 |
| Sylow | C61 ⋊ C4×AGL(1,ℤ/8) |
548 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=f,c^2=f,e^2=g,b^a=be,d^a=dg,e^a=eg,e^b=eg,h^b=h^60,h^c=h^60704 conjugacy classes — view the full character table.
| maximal subgroup of | #29685884, #29685886, #29685906, … |
| maximal normal subgroup of | #29685884, #29685886, #29685906, … |
| maximal quotient of | #29649426, #29649595, #29649618, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 13317);