Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C61 ⋊ #1381 |
128 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=d,b^2=e,c^2=fg,d^2=g,e^2=f,f^2=g,b^a=bc,c^a=cf,e^a=efg,f^a=fg,h^a=h^601964 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #29567574, #29567575, #29567577, … |
| maximal normal subgroup of | #29567574, #29567575, #29567577, … |
| maximal quotient of | #29566883, #29566931, #29567056, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 2604);