Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C22×#10596939 |
| Fitting | C22×D4×C37 ⋊ C2 |
| Sylow | C37 ⋊ C22×D8 |
338 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
388 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17994941, #17994942, #17994944, … |
| maximal normal subgroup of | #17994941, #17994942, #17994944, … |
| maximal quotient of | C22×#11924456, C22×#11924457, C22×#11924469, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1318);