Finite Group DatabasebetaFinite Group Databasebeta| order | 1184 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#10596938 |
| Fitting | C22×C4×C37 ⋊ C2 |
| Sylow | C37 ⋊ C2×C22⋊C4 |
132 conjugacy classes of subgroups.
| transitive degree | μt(G) = 592 |
308 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14557256, #14557380, C4×#10596938, … |
| maximal normal subgroup of | #14557256, #14557380, C4×#10596938, … |
| maximal quotient of | C2×#11924443, C4×#10596938, #14557388, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1184, 97);