Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic1132 |
| Sylow | C283 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18112 |
4540 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49119224, #49119226, #49119230, … |
| maximal normal subgroup of | #49119224, #49119226, #49119230, … |
| maximal quotient of | C8×Dic1132, #49120113, #49120159, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 645);