Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#22583534 |
| Sylow | C283 ⋊ C2×#103 |
162 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18112 |
2848 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#22583534, #103×Dic283, #49121091, … |
| maximal normal subgroup of | C4×#22583534, #103×Dic283, #49121091, … |
| maximal quotient of | C2×Q8⋊(C283⋊C8), #49119664, #49119690, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 540);