Finite Group DatabasebetaFinite Group Databasebeta| order | 928 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | Q16×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=e,c^2=de,d^2=e,b^a=bc,c^a=cd,d^a=de,f^a=f^28,c^b=cd,d^b=de109 conjugacy classes — view the full character table.
| maximal subgroup of | SD32×D29, C2×#11745176, #14271593, … |
| maximal normal subgroup of | SD32×D29, C2×#11745176, #14271593, … |
| maximal quotient of | #14270963, #14270967, #14270990, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(928, 35);