Finite Group DatabasebetaFinite Group Databasebeta| order | 30592 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Fitting | #390×C239 ⋊ C2 |
| Sylow | C239 ⋊ D4×C22⋊C4 |
1252 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7648 |
Polycyclic presentation:
2^7,239|a^2=g,b^a=be,c^a=cf,d^b=de,h^b=h^238,h^c=h^238,h^d=h^2383382 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30592, 7331);