Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C22×C11×M16 ⋊ C2 |
| Sylow | C11 ⋊ #2933 |
502 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
Polycyclic presentation:
2^7,11|a^2=f,c^2=f,f^2=g,b^a=be,h^a=h^10,d^c=dg250 conjugacy classes — view the full character table.
| maximal subgroup of | #14774503, #14774510, #14774518, … |
| maximal normal subgroup of | #14774503, #14774510, #14774518, … |
| maximal quotient of | #14724659, #14724670, #14724683, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13235);