Finite Group DatabasebetaFinite Group Databasebeta| order | 736 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C23 ⋊ #99 |
52 conjugacy classes of subgroups.
| transitive degree | μt(G) = 184 |
Polycyclic presentation:
2^5,23|a^2=c,b^a=bd,d^a=de,f^a=f^22,c^b=ce121 conjugacy classes — view the full character table.
| maximal subgroup of | #13092204, #13092205, #13092207, … |
| maximal normal subgroup of | #13092204, #13092205, #13092207, … |
| maximal quotient of | #13092141, #13092143, #13092151, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(736, 40);