Finite Group DatabasebetaFinite Group Databasebeta| order | 1408 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C2×C42 |
| direct product | #97×Dic11 |
| Sylow | C11 ⋊ C4×#97 |
360 conjugacy classes of subgroups; only the 221 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 221 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1408 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14644686, Dic11×#329, #14644690, … |
| maximal normal subgroup of | #14644686, Dic11×#329, #14644690, … |
| maximal quotient of | Dic11×#322, #97×C11⋊C8, #14643125, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1408, 4193);