Finite Group Databasebeta

Q16×D1063 #46801211

order34016
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productQ16×D1063

Splittings

FittingQ16×C1063 ⋊ C2
SylowC1063 ⋊ C2×Q16

Subgroups

subgroupG/H
centerC2D4×D1063
commutator, cosocleC4×C1063C23
FrattiniC4C22×D1063
FittingQ16×C1063C2
socleC2×C1063C2×D4
prime radicalC2×D1063D4
hypercenterQ16D1063
hypocenterC1063C2×Q16
LCSG ▷ C4×C1063 ▷ C2×C1063 ▷ C1063
UCSC1 ◁ C2 ◁ C4 ◁ Q16

60 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 17008

Conjugacy classes & character table

3731 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34016, 162);