Finite Group DatabasebetaFinite Group Databasebeta| order | 7232 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | #106×C113 ⋊ C2 |
| Sylow | C113 ⋊ #442 |
132 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,113|a^2=e,c^2=ef,d^2=f,b^a=bd,c^a=cf,d^a=df,d^b=df,g^b=g^112,g^c=g^112806 conjugacy classes — view the full character table.
| maximal subgroup of | #28392469, #28392471, #442×D113, … |
| maximal normal subgroup of | #28392469, #28392471, #442×D113, … |
| maximal quotient of | #28389397, #28389437, #28389487, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7232, 660);