Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Sylow | C11 ⋊ #2884 |
716 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
Polycyclic presentation:
2^7,11|a^2=f,c^2=g,d^2=g,b^a=be,e^a=eg,h^a=h^10,f^b=fg,d^c=dg211 conjugacy classes — view the full character table.
| maximal subgroup of | #14671365, #14671369, #14671379, … |
| maximal normal subgroup of | #14671365, #14671369, #14671379, … |
| maximal quotient of | #14719602, #14719606, #14719706, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 12974);