Finite Group DatabasebetaFinite Group Databasebeta| order | 7232 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | #127×C113 ⋊ C2 |
| Sylow | C113 ⋊ #493 |
162 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,113|b^2=df,c^2=e,d^2=f,b^a=bd,c^a=ce,d^a=df,g^b=g^112806 conjugacy classes — view the full character table.
| maximal subgroup of | #28388736, #28389627, #28389628, … |
| maximal normal subgroup of | #28388736, #28389627, #28389628, … |
| maximal quotient of | #28390164, #28390179, #28390181, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7232, 925);