Finite Group DatabasebetaFinite Group Databasebeta| order | 1184 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | Q16×D37 |
| Fitting | Q16×C37 ⋊ C2 |
| Sylow | C37 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 592 |
140 conjugacy classes — view the full character table.
| maximal subgroup of | SD32×D37, Q32×D37, #14557972, … |
| maximal normal subgroup of | SD32×D37, Q32×D37, #14557972, … |
| maximal quotient of | #103×D37, #107×D37, #14557625, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1184, 162);