Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#22583556 |
| Sylow | C283 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18112 |
1996 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49123117, C4×#22583556, #49123129, … |
| maximal normal subgroup of | #49123117, C4×#22583556, #49123129, … |
| maximal quotient of | C2×#31826268, C2×#31826269, C2×#31826290, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 976);