Finite Group DatabasebetaFinite Group Databasebeta| order | 14944 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic934 |
| Sylow | C467 ⋊ C4×Q8 |
70 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14944 |
3748 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44469767, #44469769, C4×#21418731, … |
| maximal normal subgroup of | #44469767, #44469769, C4×#21418731, … |
| maximal quotient of | C4×C4⋊Dic467, C4×Dic467⋊C4, #44469920, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14944, 112);