Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
No aliases for this group.
| Fitting | C2×C11×#131 ⋊ C2 |
| Sylow | C11 ⋊ #3573 |
1424 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
Polycyclic presentation:
2^7,11|a^2=f,f^2=g,e^b=eg,d^c=dg,h^e=h^10268 conjugacy classes — view the full character table.
| maximal subgroup of | #14669220, #14669222, #14669223, … |
| maximal normal subgroup of | #14669220, #14669222, #14669223, … |
| maximal quotient of | #15617191, #15617192, #15617193, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 19221);