Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C11×#518 ⋊ C2 |
| Sylow | C11 ⋊ #2946 |
506 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
Polycyclic presentation:
2^7,11|a^2=f,c^2=f,e^2=g,b^a=be,e^a=eg,h^a=h^10,e^b=eg,d^c=dg214 conjugacy classes — view the full character table.
| maximal subgroup of | #14774573, #14774579, #14774591, … |
| maximal normal subgroup of | #14774573, #14774579, #14774591, … |
| maximal quotient of | #14723211, #14723402, #14723419, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13342);