Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C11 ⋊ #2549 |
544 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
Polycyclic presentation:
2^7,11|a^2=f,b^2=eg,c^2=f,b^a=be,c^a=cf,d^a=de,c^b=cg,h^b=h^10178 conjugacy classes — view the full character table.
| maximal subgroup of | D11×#2549, C2×#13073624, #14923945, … |
| maximal normal subgroup of | D11×#2549, C2×#13073624, #14923945, … |
| maximal quotient of | #14676031, #14676529, #14676976, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 9518);