Finite Group DatabasebetaFinite Group Databasebeta| order | 18176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | C71×D4⋊C16 ⋊ C2 |
| Sylow | C71 ⋊ #11629 |
430 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4544 |
Polycyclic presentation:
2^8,71|a^2=e,c^2=f,d^2=f,e^2=g,g^2=h,b^a=bd,d^a=df,c^b=cf,d^b=df,i^c=i^702048 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18176, 79477);