Finite Group DatabasebetaFinite Group Databasebeta| order | 14912 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Sylow | C233 ⋊ #418 |
190 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3728 |
Polycyclic presentation:
2^6,233|a^2=e,c^2=f,d^2=f,b^a=bd,d^a=df,g^a=g^232,c^b=cf,d^b=df2342 conjugacy classes. The character table is too large to display.
| maximal quotient of | #44450201, #44450227, #44450253, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14912, 554);