Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | M16×Dic283 |
| Sylow | C283 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9056 |
2860 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49121052, #100×Dic283, #49121056, … |
| maximal normal subgroup of | #49121052, #100×Dic283, #49121056, … |
| maximal quotient of | M16×C283⋊C8, #49119542, #49119548, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 500);