Finite Group Databasebeta

Q16×D919 #44440795

order29408
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productQ16×D919

Splittings

FittingQ16×C919 ⋊ C2
SylowC919 ⋊ C2×Q16

Subgroups

subgroupG/H
centerC2D4×D919
commutator, cosocleC4×C919C23
FrattiniC4C22×D919
FittingQ16×C919C2
socleC2×C919C2×D4
prime radicalC2×D919D4
hypercenterQ16D919
hypocenterC919C2×Q16
LCSG ▷ C4×C919 ▷ C2×C919 ▷ C919
UCSC1 ◁ C2 ◁ C4 ◁ Q16

60 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14704

Conjugacy classes & character table

3227 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29408, 162);