Finite Group DatabasebetaFinite Group Databasebeta| order | 18176 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | D4×#14556149 |
| Fitting | D4×SD16×C71 ⋊ C2 |
| Sylow | C71 ⋊ D4×#135 |
2822 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4544 |
1295 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18176, 1044863);