Finite Group DatabasebetaFinite Group Databasebeta| order | 7328 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C229 ⋊ #103 |
42 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,229|a^2=d,b^2=e,c^2=e,b^a=bc,c^a=ce,c^b=ce,f^b=f^2281154 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #103×D229, C2×#20300911, #28411474, … |
| maximal normal subgroup of | #103×D229, C2×#20300911, #28411474, … |
| maximal quotient of | #28411211, #28411217, #28411226, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7328, 69);