Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#11924610 |
| Sylow | C37 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
184 conjugacy classes — view the full character table.
| maximal subgroup of | #18009637, #18009638, #18009640, … |
| maximal normal subgroup of | #18009637, #18009638, #18009640, … |
| maximal quotient of | C2×#14558421, C4×#11924610, C2×C22⋊#10596927, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1604);