| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C2×C42 |
| direct product | C4×#10597260 |
| 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 | #18069074, #18069103, #18069105, … |
| maximal normal subgroup of | #18069074, #18069103, #18069105, … |
| maximal quotient of | C4×#11926266, C8×#10597260, #18071899, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 4195);