Finite Group DatabasebetaFinite Group Databasebeta| order | 14528 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C227 ⋊ #504 |
84 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7264 |
Polycyclic presentation:
2^6,227|a^2=d,d^2=e,e^2=f,g^a=g^226,c^b=cf2300 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44401568, #44401571, #44401573, … |
| maximal normal subgroup of | #44401568, #44401571, #44401573, … |
| maximal quotient of | #44401331, #44401348, #44401493, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14528, 966);