Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C11 ⋊ #2911 |
492 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
Polycyclic presentation:
2^7,11|a^2=f,b^2=e,d^2=g,e^2=g,b^a=be,e^a=eg,c^b=cg,h^b=h^10244 conjugacy classes — view the full character table.
| maximal subgroup of | #14659844, #14659846, #14659847, … |
| maximal normal subgroup of | #14659844, #14659846, #14659847, … |
| maximal quotient of | #14722756, #14722795, #14722807, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13099);