Finite Group Databasebeta

Q16×D911 #44415552

order29152
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productQ16×D911

Splittings

FittingQ16×C911 ⋊ C2
SylowC911 ⋊ C2×Q16

Subgroups

subgroupG/H
centerC2D4×D911
commutator, cosocleC4×C911C23
FrattiniC4C22×D911
FittingQ16×C911C2
socleC2×C911C2×D4
prime radicalC2×D911D4
hypercenterQ16D911
hypocenterC911C2×Q16
LCSG ▷ C4×C911 ▷ C2×C911 ▷ C911
UCSC1 ◁ C2 ◁ C4 ◁ Q16

60 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14576

Conjugacy classes & character table

3199 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29152, 162);