Finite Group DatabasebetaFinite Group Databasebeta| order | 18272 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic2284 |
| Sylow | C571 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18272 |
4574 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49142069, #49142071, #49142081, … |
| maximal normal subgroup of | #49142069, #49142071, #49142081, … |
| maximal quotient of | C2×#32912619, C2×#32912628, C4×Dic2284, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18272, 164);