Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C61 ⋊ #1280 |
264 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 82 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^7,61|a^2=d,b^2=e,d^2=g,b^a=bc,c^a=cf,h^a=h^11,d^b=df,h^d=h^60524 conjugacy classes — view the full character table.
| maximal subgroup of | #30594108, #30594109, #30594110, … |
| maximal normal subgroup of | #30594108, #30594109, #30594110, … |
| maximal quotient of | #30593923, #30593925, #30593931, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 19348);