Finite Group DatabasebetaFinite Group Databasebeta| order | 928 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C22⋊C4×C29 ⋊ C2 |
| Sylow | C29 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 464 |
Polycyclic presentation:
2^5,29|c^2=d,b^a=be,f^a=f^28,c^b=ce160 conjugacy classes — view the full character table.
| maximal subgroup of | C4×D4×D29, C2×#11745243, C4×#90807, … |
| maximal normal subgroup of | C4×D4×D29, C2×#11745243, C4×#90807, … |
| maximal quotient of | #14271010, C22⋊C4×Dic29, #14271014, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(928, 102);