Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| isoclinism | isoclinic class of Dic34 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C8 · Schur multiplier (H2) = C29 |
| direct product | C2×C8×#63252 |
| Fitting | C22×C4×C8×C17 ⋊ C2 |
| Sylow | C17 ⋊ C2×C8×#41 |
2566 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
1184 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1034000);