Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×C11×C4⋊C8 ⋊ C2 |
| Sylow | C11 ⋊ #2906 |
484 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
Polycyclic presentation:
2^7,11|a^2=f,b^2=e,f^2=g,b^a=be,d^c=dg,h^d=h^10250 conjugacy classes — view the full character table.
| maximal subgroup of | #14648072, #14648076, #14648086, … |
| maximal normal subgroup of | #14648072, #14648076, #14648086, … |
| maximal quotient of | #14722994, #14722999, #14723000, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 13075);