Finite Group DatabasebetaFinite Group Databasebeta| order | 18176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C27×C4 |
| direct product | C2×#22591100 |
| Fitting | C2×C4×C22⋊C4×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×#2333 |
3414 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9088 |
2888 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18176, 328430);