Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C4×D4×C227 ⋊ C2 |
| Sylow | C227 ⋊ #459 |
140 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
Polycyclic presentation:
2^6,227|b^2=d,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^226,e^c=ef2279 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44398788, #44398790, #44398799, … |
| maximal normal subgroup of | #44398788, #44398790, #44398799, … |
| maximal quotient of | #44399075, #44399089, #44399099, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 744);