Finite Group DatabasebetaFinite Group Databasebeta| order | 36368 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C2273 ⋊ M16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18184 |
Polycyclic presentation:
2^4,2273|a^2=c,c^2=d,b^a=bd,e^a=e^290,e^b=e^2272,e^c=e^22722282 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36368, 50);