Finite Group Databasebeta

Q32×Dic19 #14565494

order2432
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C22

Aliases

direct productQ32×Dic19

Splittings

SylowC19 ⋊ C4×Q32

Subgroups

subgroupG/H
centerC22D8×D19
commutatorC8×C19C22×C4
FrattiniC2×C8C22×D19
FittingC2×C19×Q32C2
socle, prime radicalC22×C19C2×D8
cosocleC2×C8×C19C23
hypercenterC2×Q32D19
hypocenterC19C4×Q32
LCSG ▷ C8×C19 ▷ C4×C19 ▷ C2×C19 ▷ C19
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×C8 ◁ C2×Q32

150 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2432

Conjugacy classes & character table

242 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 6369);