Finite Group DatabasebetaFinite Group Databasebeta| order | 18784 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic1174 |
| Sylow | C587 ⋊ C4×Q8 |
70 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18784 |
4708 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49176810, #49176812, C4×#22627817, … |
| maximal normal subgroup of | #49176810, #49176812, C4×#22627817, … |
| maximal quotient of | C4×C4⋊Dic587, C4×Dic587⋊C4, #49176963, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18784, 112);