Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25×C4 |
No aliases for this group.
| Sylow | C11 ⋊ #1437 |
828 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
Polycyclic presentation:
2^7,11|a^2=f,b^2=g,c^2=ef,b^a=bd,c^a=ce,h^b=h^10256 conjugacy classes — view the full character table.
| maximal subgroup of | #14640797, #14640799, #14645284, … |
| maximal normal subgroup of | #14640797, #14640799, #14645284, … |
| maximal quotient of | #14641692, #14641695, #14641697, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 2747);