Finite Group DatabasebetaFinite Group Databasebeta| order | 27008 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C2×C42 |
| direct product | C4×#20269887 |
| Sylow | C211 ⋊ C4×#97 |
360 conjugacy classes of subgroups.
| transitive degree | μt(G) = 27008 |
6800 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(27008, 4194);