Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| isoclinism | isoclinic class of Dic38 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C2×C8×D76 |
| Fitting | C2×C4×C8×C19 ⋊ C2 |
| Sylow | C19 ⋊ C2×C8×D4 |
616 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
656 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#10597280, #18073108, C8×#10597278, … |
| maximal normal subgroup of | C8×#10597280, #18073108, C8×#10597278, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 13184);