Finite Group DatabasebetaFinite Group Databasebeta| order | 7232 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | #108×C113 ⋊ C2 |
| Sylow | C113 ⋊ #473 |
100 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,113|a^2=f,b^2=df,d^2=f,e^2=f,b^a=bd,c^a=ce,d^a=df,e^a=ef,g^a=g^112,e^c=ef,g^c=g^112800 conjugacy classes — view the full character table.
| maximal subgroup of | #28392546, #28392548, #28392553, … |
| maximal normal subgroup of | #28392546, #28392548, #28392553, … |
| maximal quotient of | #28389940, #28389945, #28389964, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7232, 825);