Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C2×D4×C19⋊C8 |
| Sylow | C19 ⋊ C2×C8×D4 |
616 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #99×C19⋊C8, #18073083, #18073087, … |
| maximal normal subgroup of | #99×C19⋊C8, #18073083, #18073087, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 13183);