Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic2264 |
| Sylow | C283 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18112 |
4534 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49119441, #49119443, #49119453, … |
| maximal normal subgroup of | #49119441, #49119443, #49119453, … |
| maximal quotient of | C2×#31826270, C2×#31826291, C4×Dic2264, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 977);