Finite Group DatabasebetaFinite Group Databasebeta| order | 928 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | M16×C29 ⋊ C2 |
| Sylow | C29 ⋊ #100 |
46 conjugacy classes of subgroups.
| transitive degree | μt(G) = 232 |
Polycyclic presentation:
2^5,29|b^2=c,c^2=e,b^a=bd,c^a=ce,f^a=f^28,d^b=de151 conjugacy classes — view the full character table.
| maximal subgroup of | #100×D29, C2×#11745171, #14271145, … |
| maximal normal subgroup of | #100×D29, C2×#11745171, #14271145, … |
| maximal quotient of | #14270886, #14270902, #14270906, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(928, 30);