Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#11924446 |
| Sylow | C37 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2368 |
616 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17992675, #17992679, #97×Dic37, … |
| maximal normal subgroup of | #17992675, #17992679, #97×Dic37, … |
| maximal quotient of | C2×#14557254, C2×#14557255, #17992885, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 497);