Finite Group DatabasebetaFinite Group Databasebeta| order | 1184 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C22⋊C4×D37 |
| Fitting | C22⋊C4×C37 ⋊ C2 |
| Sylow | C37 ⋊ C2×C22⋊C4 |
132 conjugacy classes of subgroups.
| transitive degree | μt(G) = 296 |
200 conjugacy classes — view the full character table.
| maximal subgroup of | #99×D37, C2×C22⋊C4×D37, #117×D37, … |
| maximal normal subgroup of | #99×D37, C2×C22⋊C4×D37, #117×D37, … |
| maximal quotient of | #95×D37, #14557380, C22⋊C4×Dic37, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1184, 96);