Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C37 ⋊ #423 |
126 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
Polycyclic presentation:
2^6,37|a^2=e,b^2=d,e^2=f,b^a=bd,c^a=cf,g^a=g^31,g^c=g^36,g^e=g^36172 conjugacy classes — view the full character table.
| maximal subgroup of | #18009482, #18009488, #18009493, … |
| maximal normal subgroup of | #18009482, #18009488, #18009493, … |
| maximal quotient of | #18010151, #18010154, #18010157, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1553);