Finite Group DatabasebetaFinite Group Databasebeta| order | 928 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C29 ⋊ #117 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 464 |
Polycyclic presentation:
2^5,29|a^2=e,c^2=d,f^a=f^28,c^b=ce160 conjugacy classes — view the full character table.
| maximal subgroup of | #14271135, #117×D29, C2×#11745239, … |
| maximal normal subgroup of | #14271135, #117×D29, C2×#11745239, … |
| maximal quotient of | #14271008, C22⋊C4×Dic29, #14271014, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(928, 98);