Finite Group DatabasebetaFinite Group Databasebeta| order | 18976 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C23 |
| unambiguous semidirect product | (C2×#14558631)⋊C4 |
| Fitting | C2×C4×C593 ⋊ C4 |
| Sylow | C593 ⋊ #95 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4744 |
Polycyclic presentation:
2^5,593|a^2=d,b^2=e,b^a=bc,f^a=f^77,f^d=f^5921204 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49183566, #49183567, #49183568, … |
| maximal normal subgroup of | #49183566, #49183567, #49183568, … |
| maximal quotient of | #49183580, #49183581, #49183582, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18976, 197);