Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C37 ⋊ #343 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
Polycyclic presentation:
2^6,37|a^2=d,b^2=e,d^2=f,b^a=bc,c^a=cf,g^a=g^36,d^b=df382 conjugacy classes — view the full character table.
| maximal subgroup of | #17992599, #17992600, #17992602, … |
| maximal normal subgroup of | #17992599, #17992600, #17992602, … |
| maximal quotient of | #17992439, #17992446, #17992452, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 318);