Finite Group DatabasebetaFinite Group Databasebeta| order | 928 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | Q8×C29 ⋊ C4 |
| Sylow | C29 ⋊ #104 |
44 conjugacy classes of subgroups.
| transitive degree | μt(G) = 232 |
Polycyclic presentation:
2^5,29|a^2=c,b^2=e,c^2=e,d^2=e,b^a=bd,d^a=de,f^a=f^12,d^b=de,f^c=f^2849 conjugacy classes — view the full character table.
| maximal subgroup of | D29⋊#104, C2×#11745226, #14272160, … |
| maximal normal subgroup of | D29⋊#104, C2×#11745226, #14272160, … |
| maximal quotient of | #14272011, Q8⋊#6599, #14272015, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(928, 85);