Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C22×C11×M16 ⋊ C2 |
| Sylow | C11 ⋊ #2879 |
764 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
Polycyclic presentation:
2^7,11|a^2=f,f^2=g,b^a=be,d^a=dg,c^b=cg,h^b=h^10244 conjugacy classes — view the full character table.
| maximal subgroup of | #14659104, #14659107, #14659109, … |
| maximal normal subgroup of | #14659104, #14659107, #14659109, … |
| maximal quotient of | #14719840, #14719845, #14719849, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 12954);