Finite Group DatabasebetaFinite Group Databasebeta| order | 19232 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C601 ⋊ M32 |
26 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9616 |
Polycyclic presentation:
2^5,601|a^2=c,c^2=d,d^2=e,b^a=be,f^a=f^6004820 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #50308453, #50308454, #50308457, … |
| maximal normal subgroup of | #50308453, #50308454, #50308457, … |
| maximal quotient of | #50308452, C22⋊#23751259, C4⋊#23751259, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19232, 86);