Finite Group DatabasebetaFinite Group Databasebeta| order | 14368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic898 |
| Sylow | C449 ⋊ C4×Q8 |
70 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14368 |
3604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43271737, #43271739, C4×#20297724, … |
| maximal normal subgroup of | #43271737, #43271739, C4×#20297724, … |
| maximal quotient of | C4×C4⋊Dic449, C4×#20297715, #43271890, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14368, 112);