Finite Group DatabasebetaFinite Group Databasebeta| order | 1184 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#10596940 |
| Sylow | C37 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 592 |
194 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#10596940, #14557624, #14557630, … |
| maximal normal subgroup of | C4×#10596940, #14557624, #14557630, … |
| maximal quotient of | C2×#11924457, C2×#11924459, C2×#11924467, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1184, 160);