Finite Group DatabasebetaFinite Group Databasebeta| order | 18976 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C593 ⋊ M32 |
26 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9488 |
Polycyclic presentation:
2^5,593|a^2=c,c^2=d,d^2=e,b^a=be,f^a=f^5924756 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49182492, #49182493, #49182496, … |
| maximal normal subgroup of | #49182492, #49182493, #49182496, … |
| maximal quotient of | #49182491, C22⋊#23748708, C4⋊#23748708, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18976, 86);