Finite Group DatabasebetaFinite Group Databasebeta| order | 18176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C8×#14556156 |
| Fitting | C8×M16×C71 ⋊ C2 |
| Sylow | C71 ⋊ C8×AGL(1,ℤ/8) |
802 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4544 |
2888 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18176, 138986);