Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C8×D1172 |
| Fitting | C4×C8×C293 ⋊ C2 |
| Sylow | C293 ⋊ C8×D4 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
4712 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49156739, #49156741, C8×#17989787, … |
| maximal normal subgroup of | #49156739, #49156741, C8×#17989787, … |
| maximal quotient of | C8×D2344, C8×#17989791, C8×Dic1172, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 616);