Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C227 ⋊ #428 |
118 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
Polycyclic presentation:
2^6,227|a^2=e,b^2=d,d^2=f,b^a=bd,d^a=df,g^a=g^226,c^b=cf2282 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44399945, #44399946, #44399950, … |
| maximal normal subgroup of | #44399945, #44399946, #44399950, … |
| maximal quotient of | #44398486, #44398501, #44398519, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 591);