Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#11924597 |
| Sylow | C37 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
166 conjugacy classes — view the full character table.
| maximal subgroup of | #18009693, #18009694, C4×#11924597, … |
| maximal normal subgroup of | #18009693, #18009694, C4×#11924597, … |
| maximal quotient of | C2×#14558378, C2×#14558379, #18009838, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1533);