Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | #108×D37 |
| Fitting | #108×C37 ⋊ C2 |
| Sylow | C37 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
| transitive degree | μt(G) = 592 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #359×D37, #17996322, #361×D37, … |
| maximal normal subgroup of | #359×D37, #17996322, #361×D37, … |
| maximal quotient of | #334×D37, #335×D37, #17993341, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 593);