Finite Group DatabasebetaFinite Group Databasebeta| order | 2336 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#11924018 |
| Sylow | C73 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2336 |
374 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17988679, C4×#11924018, #17988691, … |
| maximal normal subgroup of | #17988679, C4×#11924018, #17988691, … |
| maximal quotient of | C2×#14556514, C2×#14556515, C2×#14556524, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2336, 163);