Finite Group DatabasebetaFinite Group Databasebeta| order | 7328 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C4×C229 ⋊ C4 |
| Sylow | C229 ⋊ #99 |
52 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,229|a^2=d,b^a=bc,c^a=ce,f^a=f^122,d^b=de,f^b=f^228,f^d=f^228467 conjugacy classes — view the full character table.
| maximal subgroup of | #28412385, #28412386, #28412387, … |
| maximal normal subgroup of | #28412385, #28412386, #28412387, … |
| maximal quotient of | #28412325, #28412326, #28412333, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7328, 205);