Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C23×Dic566 |
| Sylow | C283 ⋊ C23×Q8 |
850 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18112 |
4552 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49119531, #49121184, #49121195, … |
| maximal normal subgroup of | #49119531, #49121184, #49121195, … |
| maximal quotient of | C23×Dic283⋊C4, C23×C4⋊Dic283, C22×C4×Dic566, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 1373);