Finite Group Databasebeta

Q16×D907 #44395019

order29024
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productQ16×D907

Splittings

FittingQ16×C907 ⋊ C2
SylowC907 ⋊ C2×Q16

Subgroups

subgroupG/H
centerC2D4×D907
commutator, cosocleC4×C907C23
FrattiniC4C22×D907
FittingQ16×C907C2
socleC2×C907C2×D4
prime radicalC2×D907D4
hypercenterQ16D907
hypocenterC907C2×Q16
LCSG ▷ C4×C907 ▷ C2×C907 ▷ C907
UCSC1 ◁ C2 ◁ C4 ◁ Q16

60 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14512

Conjugacy classes & character table

3185 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29024, 162);