Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#17989811 |
| Sylow | C293 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
1208 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49173629, #49173630, #49173644, … |
| maximal normal subgroup of | #49173629, #49173630, #49173644, … |
| maximal quotient of | C8×#17989811, #49173994, #49174004, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1510);