Finite Group Databasebeta

#471×D113 #28400269

order14464
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct product#471×D113

Splittings

Fitting#471×C113 ⋊ C2
SylowC113 ⋊ C2×#471

Subgroups

subgroupG/H
centerC2#121×D113
commutator, cosocleC2×C4×C113C24
FrattiniC2×C4C23×D113
Fitting#471×C113C2
socleC2×C113C2×#121
prime radicalAGL(1,ℤ/8)×D113C2
hypercenter#471D113
hypocenterC113C2×#471
LCSG ▷ C2×C4×C113 ▷ C2×C113 ▷ C113
UCSC1 ◁ C2 ◁ C2×C4 ◁ #471

468 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1808

Conjugacy classes & character table

928 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 14205);