Finite Group DatabasebetaFinite Group Databasebeta| order | 928 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C29 ⋊ #103 |
42 conjugacy classes of subgroups.
| transitive degree | μt(G) = 928 |
Polycyclic presentation:
2^5,29|a^2=c,b^2=e,d^2=e,b^a=bd,d^a=de,f^a=f^28,d^b=de154 conjugacy classes — view the full character table.
| maximal subgroup of | #103×D29, C2×#11745183, #14271158, … |
| maximal normal subgroup of | #103×D29, C2×#11745183, #14271158, … |
| maximal quotient of | Q8⋊#6597, #14270900, #14270909, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(928, 42);