Finite Group DatabasebetaFinite Group Databasebeta| order | 18176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×#17985824 |
| Sylow | C71 ⋊ C4×#366 |
366 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18176 |
2048 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18176, 84968);