Finite Group DatabasebetaFinite Group Databasebeta| order | 14624 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C457 ⋊ #97 |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14624 |
Polycyclic presentation:
2^5,457|a^2=c,b^2=d,c^2=e,b^a=be,f^a=f^4563668 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44416516, #44416517, #44416518, … |
| maximal normal subgroup of | #44416516, #44416517, #44416518, … |
| maximal quotient of | #44416499, #44416532, #44416555, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14624, 57);