Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#10622143 |
| Sylow | C11 ⋊ C2×#367 |
168 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
364 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14641481, #14641482, #14641487, … |
| maximal normal subgroup of | #14641481, #14641482, #14641487, … |
| maximal quotient of | C2×#13066690, #14665418, #14665458, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 6290);