Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C37 ⋊ #347 |
46 conjugacy classes of subgroups.
| transitive degree | μt(G) = 592 |
Polycyclic presentation:
2^6,37|a^2=c,b^2=d,c^2=e,e^2=f,b^a=be,d^a=df,g^a=g^36,c^b=cf382 conjugacy classes — view the full character table.
| maximal subgroup of | #17992628, #17992629, #17992630, … |
| maximal normal subgroup of | #17992628, #17992629, #17992630, … |
| maximal quotient of | #17992517, #17992676, C2×#14557311 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 327);