Finite Group DatabasebetaFinite Group Databasebeta| order | 18976 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | M16×C593 ⋊ C2 |
| Sylow | C593 ⋊ #100 |
46 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4744 |
Polycyclic presentation:
2^5,593|a^2=d,d^2=e,b^a=bc,c^a=ce,d^b=de,f^b=f^5922971 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #100×D593, C2×#34039201, #49182697, … |
| maximal normal subgroup of | #100×D593, C2×#34039201, #49182697, … |
| maximal quotient of | #49182438, #49182454, #49182458, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18976, 62);