Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #117×C227 ⋊ C2 |
| Sylow | C227 ⋊ #518 |
338 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3632 |
Polycyclic presentation:
2^6,227|a^2=f,b^a=be,d^a=de,c^b=ce,g^b=g^226,g^c=g^2262294 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44399844, #44399942, #44399945, … |
| maximal normal subgroup of | #44399844, #44399942, #44399945, … |
| maximal quotient of | #44402086, #44402090, #44402094, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 1023);