Finite Group DatabasebetaFinite Group Databasebeta| order | 14944 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C467 ⋊ #97 |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14944 |
Polycyclic presentation:
2^5,467|a^2=c,b^2=d,c^2=e,b^a=be,f^a=f^4663748 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44469776, #44469777, #44469778, … |
| maximal normal subgroup of | #44469776, #44469777, #44469778, … |
| maximal quotient of | #44469759, #44469792, #44469815, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14944, 57);