Finite Group DatabasebetaFinite Group Databasebeta| order | 2336 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#11924015 |
| Fitting | C2×Q8×C73 ⋊ C2 |
| Sylow | C73 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1168 |
374 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17988672, C4×#11924015, #17988685, … |
| maximal normal subgroup of | #17988672, C4×#11924015, #17988685, … |
| maximal quotient of | C2×#14556511, C2×#14556515, C2×#14556522, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2336, 159);