Finite Group DatabasebetaFinite Group Databasebeta| order | 18976 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C42×C593 ⋊ C2 |
| Sylow | C593 ⋊ #117 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9488 |
Polycyclic presentation:
2^5,593|a^2=e,c^2=d,b^a=bd,f^b=f^5924756 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49182669, #49182672, #49182730, … |
| maximal normal subgroup of | #49182669, #49182672, #49182730, … |
| maximal quotient of | #49182561, C4×#23748710, C4×#23748712, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18976, 103);