Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | D4×#14556880 |
| Sylow | C293 ⋊ C8×D4 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
770 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D8×#14556880, #49174365, SD16×#14556880, … |
| maximal normal subgroup of | D8×#14556880, #49174365, SD16×#14556880, … |
| maximal quotient of | D8×#14556880, SD16×#14556880, Q16×#14556880, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1575);