Finite Group DatabasebetaFinite Group Databasebeta| order | 14912 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | #97×C233 ⋊ C2 |
| Sylow | C233 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7456 |
Polycyclic presentation:
2^6,233|a^2=d,b^2=e,d^2=f,c^a=cf,g^b=g^232,g^c=g^2322360 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44450395, #44450397, #44450400, … |
| maximal normal subgroup of | #44450395, #44450397, #44450400, … |
| maximal quotient of | #44450089, #44450098, #44450106, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14912, 501);