Finite Group DatabasebetaFinite Group Databasebeta| order | 14368 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#20297724 |
| Sylow | C449 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7184 |
2254 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#20297724, #43272098, #43272104, … |
| maximal normal subgroup of | C4×#20297724, #43272098, #43272104, … |
| maximal quotient of | C2×#28385261, C2×#28385263, C2×#28385271, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14368, 160);