Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×D293⋊C8 |
| derived, Sylow | C293 ⋊ C2×C4×C8 |
162 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
1232 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49173614, #49173616, #49173619, … |
| maximal normal subgroup of | #49173614, #49173616, #49173619, … |
| maximal quotient of | C8×D293⋊C8, #49173979, #49173983, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1505);