Finite Group DatabasebetaFinite Group Databasebeta| order | 18992 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic2374 |
| unambiguous semidirect product | (C2×C1187)⋊Q8 |
| Sylow | C1187 ⋊ C2×Q8 |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18992 |
4754 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49184172, #49184177, #49184179, … |
| maximal normal subgroup of | #49184172, #49184177, #49184179, … |
| maximal quotient of | C2×Dic1187⋊C4, C2×C4⋊Dic1187, C4×Dic2374, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18992, 38);