Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C227 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14528 |
Polycyclic presentation:
2^6,227|a^2=e,b^2=d,c^2=de,e^2=f,b^a=bd,g^c=g^2262300 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44398533, #44398537, #44398538, … |
| maximal normal subgroup of | #44398533, #44398537, #44398538, … |
| maximal quotient of | #44399595, #44399599, #44400288, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 673);