Finite Group DatabasebetaFinite Group Databasebeta| order | 1184 |
| isoclinism | isoclinic class of Dic74 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×C22⋊D37 |
| Fitting | C22×C4×C37 ⋊ C2 |
| Sylow | C37 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 592 |
308 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14557596, C8×C22⋊D37, #14557601, … |
| maximal normal subgroup of | #14557596, C8×C22⋊D37, #14557601, … |
| maximal quotient of | C4×C22⋊Dic37, C4×#10596938, C4×#10596936, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1184, 107);