Finite Group DatabasebetaFinite Group Databasebeta| order | 18176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C2×C4×C4⋊C4×C71 ⋊ C2 |
| Sylow | C71 ⋊ #15147 |
1778 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9088 |
Polycyclic presentation:
2^8,71|b^2=ef,c^2=ef,d^2=h,b^a=be,c^a=cf,d^a=dh,i^a=i^70,c^b=cg2864 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18176, 106313);