Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×C4⋊#3866 |
| Fitting | C42×C37 ⋊ C4 |
| Sylow | C37 ⋊ C4×C4⋊C4 |
194 conjugacy classes of subgroups.
| transitive degree | μt(G) = 592 |
184 conjugacy classes — view the full character table.
| maximal subgroup of | #18009430, #18009431, #18009446, … |
| maximal normal subgroup of | #18009430, #18009431, #18009446, … |
| maximal quotient of | C4×(C2×#3866)⋊C4, #18009772, #18009774, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1488);