Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C16×C37 ⋊ C2 |
| Sylow | C37 ⋊ #504 |
84 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
Polycyclic presentation:
2^6,37|a^2=d,d^2=e,e^2=f,c^b=cf,g^c=g^36616 conjugacy classes — view the full character table.
| maximal subgroup of | #17992737, #17992739, #17996431, … |
| maximal normal subgroup of | #17992737, #17992739, #17996431, … |
| maximal quotient of | #17996191, #17996192, #17996208, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 965);