Finite Group DatabasebetaFinite Group Databasebeta| order | 14816 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic926 |
| Sylow | C463 ⋊ C4×Q8 |
70 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14816 |
3716 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44444523, #44444525, C4×#20301778, … |
| maximal normal subgroup of | #44444523, #44444525, C4×#20301778, … |
| maximal quotient of | C4×C4⋊Dic463, C4×Dic463⋊C4, #44444676, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14816, 112);