Finite Group DatabasebetaFinite Group Databasebeta| order | 928 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | C16×C29 ⋊ C2 |
| Sylow | C29 ⋊ SD32 |
26 conjugacy classes of subgroups.
| minimal degree | μ(G) = 45 |
| transitive degree | μt(G) = 464 |
Polycyclic presentation:
2^5,29|b^2=cd,c^2=d,d^2=e,b^a=bc,c^a=cde,d^a=de,f^a=f^28235 conjugacy classes — view the full character table.
| maximal subgroup of | SD32×D29, C2×#11745148, #14271594, … |
| maximal normal subgroup of | SD32×D29, C2×#11745148, #14271594, … |
| maximal quotient of | #14270965, #14270968, #14270991, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(928, 7);