Finite Group DatabasebetaFinite Group Databasebeta| order | 27008 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | #344×D211 |
| Fitting | #344×C211 ⋊ C2 |
| Sylow | C211 ⋊ C2×#344 |
388 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3376 |
2354 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(27008, 4250);