Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#22627544 |
| Fitting | C2×C4⋊C4×C293 ⋊ C2 |
| Sylow | C293 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
2948 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49158599, C4×#22627544, #49158609, … |
| maximal normal subgroup of | #49158599, C4×#22627544, #49158609, … |
| maximal quotient of | C2×#34035856, #49157183, #49157209, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 535);