Finite Group DatabasebetaFinite Group Databasebeta| order | 18272 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D2284 |
| Fitting | C42×C571 ⋊ C2 |
| Sylow | C571 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9136 |
4580 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49141993, #49141995, #49142331, … |
| maximal normal subgroup of | #49141993, #49141995, #49142331, … |
| maximal quotient of | C4×(C2×D571)⋊C4, C4×C4⋊Dic571, #49142140, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18272, 110);