Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | D4×#14556653 |
| Fitting | D42×C73 ⋊ C4 |
| Sylow | C73 ⋊ D4×#102 |
2014 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2336 |
520 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 1109714);