Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C11 ⋊ #1442 |
520 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
Polycyclic presentation:
2^7,11|a^2=g,b^2=e,c^2=d,b^a=bd,c^a=ce,h^a=h^10,c^b=cf,h^b=h^10,h^c=h^10244 conjugacy classes — view the full character table.
| maximal subgroup of | #14647825, #14647826, #14647839, … |
| maximal normal subgroup of | #14647825, #14647826, #14647839, … |
| maximal quotient of | #14641698, #14641700, #14661958, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 2769);