Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C2×C42 |
| direct product | C4×#10597272 |
| Sylow | C19 ⋊ C4×#97 |
360 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2432 |
656 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #18069396, C8×#10597272, #18071891, … |
| maximal normal subgroup of | #18069396, C8×#10597272, #18071891, … |
| maximal quotient of | C4×#11926265, C4×#11926266, C8×#10597272, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 4194);