Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#22583530 |
| Fitting | C2×C4⋊C4×C283 ⋊ C2 |
| Sylow | C283 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9056 |
2848 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49121075, C4×#22583530, #49121085, … |
| maximal normal subgroup of | #49121075, C4×#22583530, #49121085, … |
| maximal quotient of | C2×#31826192, #49119659, #49119685, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 535);