Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #106×D283 |
| Fitting | #106×C283 ⋊ C2 |
| Sylow | C283 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9056 |
2002 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #360×D283, #365×D283, C2×#106×D283, … |
| maximal normal subgroup of | #360×D283, #365×D283, C2×#106×D283, … |
| maximal quotient of | #334×D283, #49120015, #49120030, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 578);