Finite Group DatabasebetaFinite Group Databasebeta| order | 30848 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C241 ⋊ C4×#126 |
516 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15424 |
Polycyclic presentation:
2^7,241|a^2=g,b^2=ef,c^2=e,d^2=g,b^a=be,c^a=cf,h^a=h^240,h^c=h^240,h^d=h^2403416 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30848, 7064);