Finite Group DatabasebetaFinite Group Databasebeta| order | 16228 |
| automorphism | ? |
| homology | Abelianization (H1) = C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting, socle, derived, Sylow | C4057 ⋊ C4 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, hypocenter | C4057 | C4 |
| prime radical, cosocle | D4057 | C2 |
| LCS | G ▷ C4057 | |
| UCS | C1 | |
6 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4057 |
Polycyclic presentation:
2^2,4057|a^2=b,c^a=c^1857,c^b=c^40561018 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#30634015, #44570156 |
| maximal normal subgroup of | C2×#30634015, #44570156 |
| maximal quotient of | #44570154, C2×#30634015 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16228, 3);