Finite Group DatabasebetaFinite Group Databasebeta| order | 19232 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C601 ⋊ #97 |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 19232 |
Polycyclic presentation:
2^5,601|a^2=c,b^2=d,c^2=e,b^a=be,f^b=f^6004820 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #50308453, #97×D601, C2×#34063735, … |
| maximal normal subgroup of | #50308453, #97×D601, C2×#34063735, … |
| maximal quotient of | #50308397, #50308398, #50308430, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19232, 56);