Finite Group Databasebeta

Q16×D1061 #46800646

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

Aliases

direct productQ16×D1061

Splittings

FittingQ16×C1061 ⋊ C2
SylowC1061 ⋊ C2×Q16

Subgroups

subgroupG/H
centerC2D4×D1061
commutator, cosocleC4×C1061C23
FrattiniC4C22×D1061
FittingQ16×C1061C2
socleC2×C1061C2×D4
prime radicalC2×D1061D4
hypercenterQ16D1061
hypocenterC1061C2×Q16
LCSG ▷ C4×C1061 ▷ C2×C1061 ▷ C1061
UCSC1 ◁ C2 ◁ C4 ◁ Q16

60 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 16976

Conjugacy classes & character table

3724 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33952, 162);