Finite Group DatabasebetaFinite Group Databasebeta| order | 18176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D4×#14556071 |
| Fitting | D4×Q16×C71 ⋊ C2 |
| Sylow | C71 ⋊ D4×SD32 |
738 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4544 |
1280 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18176, 326242);