Finite Group DatabasebetaFinite Group Databasebeta| order | 19072 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Fitting | #386×C149 ⋊ C2 |
| Sylow | C149 ⋊ #2308 |
1160 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4768 |
Polycyclic presentation:
2^7,149|a^2=g,b^a=be,c^a=cf,d^a=de,c^b=ce,h^d=h^1482116 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19072, 7084);