Finite Group DatabasebetaFinite Group Databasebeta| order | 14912 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C22⋊C8×C233 ⋊ C2 |
| Sylow | C233 ⋊ #448 |
158 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7456 |
Polycyclic presentation:
2^6,233|b^2=f,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^232,d^b=df,g^b=g^2322339 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44450763, #44450764, #44450775, … |
| maximal normal subgroup of | #44450763, #44450764, #44450775, … |
| maximal quotient of | #44450735, #44450752, #44450803, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14912, 690);