Finite Group DatabasebetaFinite Group Databasebeta| order | 2032 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C127 ⋊ M16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1016 |
Polycyclic presentation:
2^4,127|a^2=c,c^2=d,b^a=bd,e^a=e^126514 conjugacy classes — view the full character table.
| maximal subgroup of | #16861125, #16861126, #16861127, … |
| maximal normal subgroup of | #16861125, #16861126, #16861127, … |
| maximal quotient of | #16861120, C22⋊(C127⋊C8), C4⋊(C127⋊C8), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2032, 24);