Finite Group DatabasebetaFinite Group Databasebeta| order | 18176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C24×C4 |
| direct product | C8×M16×D71 |
| Fitting | C8×M16×C71 ⋊ C2 |
| Sylow | C71 ⋊ C2×C8×M16 |
1046 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4544 |
2960 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18176, 135138);