Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#17985375 |
| Fitting | C4×C8×C283 ⋊ C2 |
| Sylow | C283 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9056 |
4552 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#17985375, #49119540, #49119547, … |
| maximal normal subgroup of | C8×#17985375, #49119540, #49119547, … |
| maximal quotient of | C8×#17985375, #49119547, #49119555, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 499);