Finite Group DatabasebetaFinite Group Databasebeta| order | 14912 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | #107×C233 ⋊ C2 |
| Sylow | C233 ⋊ #428 |
118 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7456 |
Polycyclic presentation:
2^6,233|a^2=e,b^2=d,d^2=f,b^a=bd,d^a=df,c^b=cf,g^b=g^232,g^c=g^2321646 conjugacy classes. The character table is too large to display.
| maximal quotient of | #44450561, #44450576, #44450594, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14912, 590);