Finite Group DatabasebetaFinite Group Databasebeta| order | 14464 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #125×C113 ⋊ C4 |
| Sylow | C113 ⋊ #2370 |
464 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3616 |
Polycyclic presentation:
2^7,113|a^2=g,b^2=fg,c^2=ef,d^2=e,b^a=be,c^a=cf,h^a=h^15,d^b=de,h^b=h^98,h^g=h^112442 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14464, 21044);