Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | #97×C227 ⋊ C2 |
| Sylow | C227 ⋊ #329 |
70 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
Polycyclic presentation:
2^6,227|a^2=d,c^2=f,d^2=e,b^a=bc,c^a=ce,c^b=cf,d^b=def,g^b=g^2262279 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #329×D227, C2×#28408771, #44398320, … |
| maximal normal subgroup of | #329×D227, C2×#28408771, #44398320, … |
| maximal quotient of | #44397554, #44397559, #44397616, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 288);