Finite Group DatabasebetaFinite Group Databasebeta| order | 30848 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | #385×C241 ⋊ C2 |
| Sylow | C241 ⋊ #2321 |
808 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7712 |
Polycyclic presentation:
2^7,241|a^2=g,b^2=g,b^a=be,c^a=cf,d^a=de,c^b=ce,h^b=h^240,h^c=h^2403404 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30848, 7167);