Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C11 ⋊ #1398 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
Polycyclic presentation:
2^7,11|a^2=c,b^2=d,c^2=e,e^2=f,f^2=g,b^a=bf,d^a=dg,c^b=cg,h^b=h^10244 conjugacy classes — view the full character table.
| maximal subgroup of | D11×#1398, C2×#13066751, #14673959, … |
| maximal normal subgroup of | D11×#1398, C2×#13066751, #14673959, … |
| maximal quotient of | #14641102, #14641107, #14641461, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 2645);