Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | Q8×#14556880 |
| Sylow | C293 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18752 |
770 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD16×#14556880, #49174369, Q16×#14556880, … |
| maximal normal subgroup of | SD16×#14556880, #49174369, Q16×#14556880, … |
| maximal quotient of | C4⋊C4×#14556880, #49174838, #49174882, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1597);