Finite Group Databasebeta

C4×#16813669 #28403784

order14464
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct productC4×#16813669

Splittings

FittingC4×#41×C113 ⋊ C2
SylowC113 ⋊ C4×2−1+4

Subgroups

subgroupG/H
centerC2×C4C23×D113
commutatorC2×C113C24×C4
FrattiniC22C24×D113
FittingC4×#41×C113C2
socle, cosocleC22×C113C25
prime radicalC2×#16813669C2
hypercenterC4×#41D113
hypocenterC113C4×2−1+4
LCSG ▷ C2×C113 ▷ C113
UCSC1 ◁ C2×C4 ◁ C4×#41

1492 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7232

Conjugacy classes & character table

2308 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 17720);