Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q16×Dic37 |
| Sylow | C37 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2368 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17996445, SD32×Dic37, #17996452, … |
| maximal normal subgroup of | #17996445, SD32×Dic37, #17996452, … |
| maximal quotient of | Q16×#64436, #17993447, #17993493, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 644);