Finite Group DatabasebetaFinite Group Databasebeta| order | 18976 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C593 ⋊ C22⋊Q8 |
74 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9488 |
Polycyclic presentation:
2^5,593|a^2=d,b^2=d,b^a=bd,c^a=ce,f^b=f^5922974 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C22⋊Q8×D593, C2×#34039262, #49183221, … |
| maximal normal subgroup of | C22⋊Q8×D593, C2×#34039262, #49183221, … |
| maximal quotient of | #49182573, #49182587, #49182590, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18976, 123);