Finite Group Databasebeta

D4×#16862558 #46800710

order33952
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C23

Aliases

direct productD4×#16862558

Splittings

FittingD4×C1061 ⋊ C4
SylowC1061 ⋊ C4×D4

Subgroups

subgroupG/H
center, FrattiniC2C22×#16862558
commutator, socleC2×C1061C22×C4
FittingD4×C1061C4
prime radicalD4×D1061C2
cosocleC2×D1061C23
hypercenterD4#16862558
hypocenterC1061C4×D4
LCSG ▷ C2×C1061 ▷ C1061
UCSC1 ◁ C2 ◁ D4

94 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 4244

Conjugacy classes & character table

1345 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33952, 226);