Finite Group DatabasebetaFinite Group Databasebeta| order | 14912 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | #124×C233 ⋊ C2 |
| Sylow | C233 ⋊ #454 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3728 |
Polycyclic presentation:
2^6,233|c^2=f,d^2=f,b^a=bd,c^a=ce,d^a=df,d^b=df,e^b=ef,g^b=g^232,d^c=df1640 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44449960, #44449962 |
| maximal normal subgroup of | #44449960, #44449962 |
| maximal quotient of | #44450737, #44450744, #44450749, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14912, 721);