Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊#64438 |
| Sylow | C37 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2368 |
184 conjugacy classes — view the full character table.
| maximal subgroup of | #18009426, #18009432, #18009442, … |
| maximal normal subgroup of | #18009426, #18009432, #18009442, … |
| maximal quotient of | C2×#14558394, C2×#14558396, #18010143, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1549);