Finite Group DatabasebetaFinite Group Databasebeta| order | 14912 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C233 ⋊ #423 |
126 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7456 |
Polycyclic presentation:
2^6,233|a^2=e,b^2=d,e^2=f,b^a=bd,c^a=cf,g^b=g^2322348 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44449760 |
| maximal normal subgroup of | #44449760 |
| maximal quotient of | #44450565, #44450568, #44450571, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14912, 572);