Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#11924604 |
| unambiguous semidirect product | D37⋊#106 |
| Fitting | C2×C8×C37 ⋊ C4 |
| Sylow | C37 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 592 |
172 conjugacy classes — view the full character table.
| maximal subgroup of | #18009661, #18009662, #18009667, … |
| maximal normal subgroup of | #18009661, #18009662, #18009667, … |
| maximal quotient of | C2×#14558394, D37⋊#334, C2×#14558395, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1557);