Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C2×C11×#95 ⋊ C2 |
| Sylow | C11 ⋊ #2339 |
928 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
Polycyclic presentation:
2^7,11|a^2=g,c^2=e,b^a=be,c^a=cf,d^b=de,h^b=h^10250 conjugacy classes — view the full character table.
| maximal subgroup of | #14721365, #14721368, #14721420, … |
| maximal normal subgroup of | #14721365, #14721368, #14721420, … |
| maximal quotient of | #14675180, #14675183, #14675199, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 7337);