Finite Group DatabasebetaFinite Group Databasebeta| order | 7328 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×D4×C229 ⋊ C2 |
| Sylow | C229 ⋊ AGL(1,ℤ/8) |
68 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,229|d^2=e,b^a=bd,c^a=ce,d^a=de,f^a=f^228,d^b=de1151 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28411647, #28411648, #28411652, … |
| maximal normal subgroup of | #28411647, #28411648, #28411652, … |
| maximal quotient of | #28411480, #28411486, #28411521, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7328, 172);