Finite Group DatabasebetaFinite Group Databasebeta| order | 36896 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C4⋊C4×C1153 ⋊ C2 |
| Sylow | C1153 ⋊ #102 |
50 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18448 |
Polycyclic presentation:
2^5,1153|a^2=d,c^2=e,b^a=bc,c^a=ce,c^b=ce,f^b=f^11525774 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36896, 66);