Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q16×#3866 |
| Fitting | Q16×C37 ⋊ C4 |
| Sylow | C37 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 592 |
91 conjugacy classes — view the full character table.
| maximal subgroup of | SD32×#3866, Q32×#3866, #18010992, … |
| maximal normal subgroup of | SD32×#3866, Q32×#3866, #18010992, … |
| maximal quotient of | Q16×#64438, #18010183, #18010184, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1587);