Finite Group DatabasebetaFinite Group Databasebeta| order | 14464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | C4×C8×C113 ⋊ C4 |
| Sylow | C113 ⋊ #1835 |
216 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3616 |
Polycyclic presentation:
2^7,113|a^2=f,b^2=eg,c^2=d,d^2=g,e^2=g,b^a=bd,c^a=ce,d^a=dg,e^a=eg,h^a=h^98,h^f=h^112940 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14464, 20432);