Finite Group DatabasebetaFinite Group Databasebeta| order | 14944 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D1868 |
| Fitting | C42×C467 ⋊ C2 |
| Sylow | C467 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7472 |
3748 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44469764, #44469766, #44470102, … |
| maximal normal subgroup of | #44469764, #44469766, #44470102, … |
| maximal quotient of | C4×(C2×D467)⋊C4, C4×C4⋊Dic467, #44469911, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14944, 110);