Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #101×D293 |
| Fitting | #101×C293 ⋊ C2 |
| Sylow | C293 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4688 |
1628 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #355×D293, #356×D293, #49160471, … |
| maximal normal subgroup of | #355×D293, #356×D293, #49160471, … |
| maximal quotient of | #324×D293, #49157107, #49157113, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 527);