Finite Group DatabasebetaFinite Group Databasebeta| order | 7232 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C113 ⋊ #349 |
58 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,113|a^2=d,d^2=e,e^2=f,b^a=bc,c^a=cf,g^a=g^98,d^b=df,g^d=g^112470 conjugacy classes — view the full character table.
| maximal subgroup of | #28405506, #28405507, #28405508, … |
| maximal normal subgroup of | #28405506, #28405507, #28405508, … |
| maximal quotient of | #28405494, #28405510, #28405526, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7232, 1445);