Finite Group DatabasebetaFinite Group Databasebeta| order | 18976 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | Q16×C593 ⋊ C2 |
| Sylow | C593 ⋊ #137 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9488 |
Polycyclic presentation:
2^5,593|b^2=e,d^2=e,b^a=bd,c^a=ce,d^a=de,f^a=f^592,d^b=de,f^c=f^5922083 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #137×D593, C2×#34039317, #49183512, … |
| maximal normal subgroup of | #137×D593, C2×#34039317, #49183512, … |
| maximal quotient of | #49182715, #49182722, #49182756, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18976, 178);