Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#11924603 |
| 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 | #18009440, #18009474, #18009487, … |
| maximal normal subgroup of | #18009440, #18009474, #18009487, … |
| maximal quotient of | C2×#14558395, C2×#14558397, #18010145, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1551);