Finite Group Databasebeta

Q32×D467 #44470463

order29888
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productQ32×D467

Splittings

FittingQ32×C467 ⋊ C2
SylowC467 ⋊ C2×Q32

Subgroups

subgroupG/H
centerC2D8×D467
commutator, cosocleC8×C467C23
FrattiniC8C22×D467
FittingQ32×C467C2
socleC2×C467C2×D8
prime radicalC2×D467D8
hypercenterQ32D467
hypocenterC467C2×Q32
LCSG ▷ C8×C467 ▷ C4×C467 ▷ C2×C467 ▷ C467
UCSC1 ◁ C2 ◁ C4 ◁ C8 ◁ Q32

82 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14944

Conjugacy classes & character table

2585 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29888, 975);