Finite Group DatabasebetaFinite Group Databasebeta| order | 18976 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C593 ⋊ #97 |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18976 |
Polycyclic presentation:
2^5,593|a^2=c,b^2=d,c^2=e,b^a=be,f^a=f^5924756 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49182454, #49182455, #49182456, … |
| maximal normal subgroup of | #49182454, #49182455, #49182456, … |
| maximal quotient of | #49182437, #49182470, #49182493, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18976, 57);