Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| isoclinism | isoclinic class of Dic38 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×C4×C4⋊Dic19 |
| Sylow | C19 ⋊ C2×C4×C4⋊C4 |
928 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2432 |
656 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#14561474, C2×#14561475, #18072074, … |
| maximal normal subgroup of | C2×#14561474, C2×#14561475, #18072074, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 6845);