Finite Group DatabasebetaFinite Group Databasebeta| order | 928 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C29 ⋊ #137 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 464 |
Polycyclic presentation:
2^5,29|a^2=e,d^2=e,c^a=cd,d^a=de,f^a=f^28,c^b=ce,d^c=de151 conjugacy classes — view the full character table.
| maximal subgroup of | #14271341, #14271342, #14271346, … |
| maximal normal subgroup of | #14271341, #14271342, #14271346, … |
| maximal quotient of | #14271164, #14271171, #14271206, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(928, 172);