Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C19 ⋊ M128 |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1216 |
Polycyclic presentation:
2^7,19|a^2=c,c^2=d,d^2=e,e^2=f,f^2=g,b^a=bg,h^a=h^18656 conjugacy classes — view the full character table.
| maximal subgroup of | #18070345, #18070346, #18070349, … |
| maximal normal subgroup of | #18070345, #18070346, #18070349, … |
| maximal quotient of | #18070344, C22⋊(C19⋊C64), C4⋊(C19⋊C64) |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 2721);