Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| isoclinism | isoclinic class of D176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic88 |
| Sylow | C11 ⋊ C4×Q32 |
150 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
364 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14641225, #14641227, #14641231, … |
| maximal normal subgroup of | #14641225, #14641227, #14641231, … |
| maximal quotient of | C8×Dic88, #14665691, #14665765, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 6370);