Finite Group DatabasebetaFinite Group Databasebeta| order | 17152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C27×C4 |
| direct product | C2×#22563103 |
| Fitting | C2×C4×C4⋊C4×C67 ⋊ C2 |
| Sylow | C67 ⋊ C2×#2347 |
2790 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8576 |
2740 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17152, 328832);