Finite Group Databasebeta

C4×#16813615 #28393123

order14464
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C24

Aliases

direct productC4×#16813615

Splittings

SylowC113 ⋊ C4×#126

Subgroups

subgroupG/H
centerC22×C4C22×D113
commutatorC22×C113C23×C4
FrattiniC23C23×D113
FittingC4×C22⋊C4×C113C2
socle, cosocleC23×C113C24
prime radicalC24×C113C23
hypercenterC4×C22⋊C4D113
hypocenterC113C4×#126
LCSG ▷ C22×C113 ▷ C113
UCSC1 ◁ C22×C4 ◁ C4×C22⋊C4

516 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7232

Conjugacy classes & character table

2296 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 7059);