Finite Group DatabasebetaFinite Group Databasebeta| order | 928 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C8×C29 ⋊ C4 |
| Sylow | C29 ⋊ #106 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 232 |
Polycyclic presentation:
2^5,29|a^2=c,b^2=d,d^2=e,b^a=bd,d^a=de,f^a=f^12,f^c=f^2870 conjugacy classes — view the full character table.
| maximal subgroup of | #14272079, #14272080, #14272087, … |
| maximal normal subgroup of | #14272079, #14272080, #14272087, … |
| maximal quotient of | #14272024, #14272025, #14272037, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(928, 68);