Finite Group DatabasebetaFinite Group Databasebeta| order | 18976 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C22⋊#18011661 |
| Sylow | C593 ⋊ C22⋊C8 |
50 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9488 |
Polycyclic presentation:
2^5,593|a^2=d,d^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 | #49183558, #49183559, #49183560, … |
| maximal normal subgroup of | #49183558, #49183559, #49183560, … |
| maximal quotient of | #49183558, #49183560, D4⋊#18011661, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18976, 202);