Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C61×H(3,ℤ/4) ⋊ C2 |
| Sylow | C61 ⋊ #1827 |
262 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 73 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=f,c^2=d,e^2=g,b^a=bd,c^a=ce,d^a=dg,f^b=fg,h^b=h^60,f^c=fg692 conjugacy classes — view the full character table.
| maximal subgroup of | D61×#1827, C2×#21445921, #29679859, … |
| maximal normal subgroup of | D61×#1827, C2×#21445921, #29679859, … |
| maximal quotient of | #29573455, #29573459, #29573463, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 4612);