Finite Group DatabasebetaFinite Group Databasebeta| order | 24512 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C383 ⋊ #360 |
58 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6128 |
Polycyclic presentation:
2^6,383|a^2=d,c^2=e,e^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^382,c^b=cef,d^b=df,e^b=ef2690 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24512, 359);