Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×Q8×D293 |
| Fitting | C4×Q8×C293 ⋊ C2 |
| Sylow | C293 ⋊ C2×C4×Q8 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
2960 conjugacy classes. The character table is too large to display.
| maximal subgroup of | Q8⋊C8×D293, #49157178, #49157212, … |
| maximal normal subgroup of | Q8⋊C8×D293, #49157178, #49157212, … |
| maximal quotient of | C4×C4⋊C4×D293, C4×#22627589, C4×Q8×Dic293, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1012);