Finite Group DatabasebetaFinite Group Databasebeta| order | 18976 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#23748717 |
| Sylow | C593 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9488 |
4756 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49182471, #49182473, #49182474, … |
| maximal normal subgroup of | #49182471, #49182473, #49182474, … |
| maximal quotient of | C2×#34039196, C4×#23748717, C2×C22⋊#18011654, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18976, 151);