Finite Group DatabasebetaFinite Group Databasebeta| order | 18976 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D4744 |
| Fitting | C2×C8×C593 ⋊ C2 |
| Sylow | C593 ⋊ C2×D8 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9488 |
4750 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49182515, #49182517, #49182527, … |
| maximal normal subgroup of | #49182515, #49182517, #49182527, … |
| maximal quotient of | C2×#34039207, C2×#34039219, C4×D4744, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18976, 157);