Finite Group Databasebeta

D4×#14268656 #28407310

order14464
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productD4×#14268656

Splittings

SylowC113 ⋊ D4×M16

Subgroups

subgroupG/H
center, FrattiniC22C23×#90673
commutator, socleC22×C113C23×C4
Fitting, prime radicalC22×D4×C113C4
cosocleC2×Dic113C24
hypercenterC22×D4#90673
hypocenterC113D4×M16
LCSG ▷ C22×C113 ▷ C113
UCSC1 ◁ C22 ◁ C22×D4

544 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3616

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14464, 21246);