Finite Group Databasebeta

D4×Dic1061 #46800593

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

Aliases

direct productD4×Dic1061

Splittings

SylowC1061 ⋊ C4×D4

Subgroups

subgroupG/H
center, FrattiniC22C22×D1061
commutatorC2×C1061C22×C4
Fitting, prime radicalC2×D4×C1061C2
socle, cosocleC22×C1061C23
hypercenterC2×D4D1061
hypocenterC1061C4×D4
LCSG ▷ C2×C1061 ▷ C1061
UCSC1 ◁ C22 ◁ C2×D4

94 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 16976

Conjugacy classes & character table

5320 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33952, 109);