Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C61 ⋊ #3162 |
348 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,61|a^2=e,b^2=e,c^2=f,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^60,c^b=cg1232 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #29574966, #29581003, #29581004, … |
| maximal normal subgroup of | #29574966, #29581003, #29581004, … |
| maximal quotient of | #29680436, #29683366, #29684590, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 15034);