Finite Group DatabasebetaFinite Group Databasebeta| order | 7232 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C16×C113 ⋊ C4 |
| Sylow | C113 ⋊ #366 |
46 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,113|a^2=d,b^2=ce,c^2=ef,e^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^98,g^d=g^112470 conjugacy classes — view the full character table.
| maximal subgroup of | #28405723, #28405724, #28405735, … |
| maximal normal subgroup of | #28405723, #28405724, #28405735, … |
| maximal quotient of | #28405605, #28405606, #28405632, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7232, 1475);