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,d^b=df,g^b=g^36382 conjugacy classes — view the full character table.
| maximal subgroup of | #343×D37, C2×#14557301, #17994333, … |
| maximal normal subgroup of | #343×D37, C2×#14557301, #17994333, … |
| maximal quotient of | #17992438, #17992445, #17992447, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 317);