Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| isoclinism | isoclinic class of Dic38 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23×C4 |
| direct product | C8×C22⋊Dic19 |
| Sylow | C19 ⋊ C8×C22⋊C4 |
384 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 173 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1216 |
656 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #18069521, #18069522, #18069530, … |
| maximal normal subgroup of | #18069521, #18069522, #18069530, … |
| maximal quotient of | C8×C22⋊(C19⋊C8), #18073012, #18073027, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 4281);