Finite Group DatabasebetaFinite Group Databasebeta| order | 14944 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#21418731 |
| Sylow | C467 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7472 |
2344 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#21418731, #44470128, #44470134, … |
| maximal normal subgroup of | C4×#21418731, #44470128, #44470134, … |
| maximal quotient of | C2×#28417874, C2×#28417876, C2×#28417884, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14944, 160);