Finite Group DatabasebetaFinite Group Databasebeta| order | 1184 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#10596957 |
| Sylow | C37 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 592 |
92 conjugacy classes — view the full character table.
| maximal subgroup of | #14558413, #14558414, C4×#10596957, … |
| maximal normal subgroup of | #14558413, #14558414, C4×#10596957, … |
| maximal quotient of | C2×#11924591, C4×#10596957, C2×C22⋊#64438, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1184, 230);