Finite Group DatabasebetaFinite Group Databasebeta| order | 3424 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C8×C107 ⋊ C2 |
| Sylow | C107 ⋊ #131 |
62 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1712 |
Polycyclic presentation:
2^5,107|a^2=d,d^2=e,c^b=ce,f^c=f^106868 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3424, 152);