Finite Group DatabasebetaFinite Group Databasebeta| order | 19072 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C149 ⋊ Q8×C4⋊C4 |
568 conjugacy classes of subgroups.
| transitive degree | μt(G) = 19072 |
Polycyclic presentation:
2^7,149|a^2=g,b^2=e,c^2=f,d^2=e,b^a=be,c^a=cf,d^b=de,h^c=h^148,h^d=h^1482122 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19072, 7424);