Finite Group DatabasebetaFinite Group Databasebeta| order | 1184 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic148 |
| Sylow | C37 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
302 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14557336, #14557338, #14557348, … |
| maximal normal subgroup of | #14557336, #14557338, #14557348, … |
| maximal quotient of | C2×#11924461, C2×#11924470, C4×Dic148, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1184, 164);