Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| 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,g^a=g^226,c^b=ce2294 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44399840, #44399843, #44399943, … |
| maximal normal subgroup of | #44399840, #44399843, #44399943, … |
| maximal quotient of | #44402087, #44402091, #44402095, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 1024);