Finite Group DatabasebetaFinite Group Databasebeta| order | 928 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | SD16×C29 ⋊ C2 |
| Sylow | C29 ⋊ #137 |
60 conjugacy classes of subgroups.
| minimal degree | μ(G) = 45 |
| transitive degree | μt(G) = 464 |
Polycyclic presentation:
2^5,29|b^2=e,d^2=e,c^a=ce,f^a=f^28,c^b=cd,d^b=de,d^c=de109 conjugacy classes — view the full character table.
| maximal subgroup of | #137×D29, C2×#11745277, #14271959, … |
| maximal normal subgroup of | #137×D29, C2×#11745277, #14271959, … |
| maximal quotient of | #14271161, #14271170, #14271202, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(928, 136);