Finite Group Databasebeta

D19×#380 #14566004

order2432
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C27

Aliases

direct productD19×#380

Splittings

FittingC19×#380 ⋊ C2
SylowC19 ⋊ C2×#380

Subgroups

subgroupG/H
center, FrattiniC23C23×D19
commutatorC22×C19C23×C4
FittingC19×#380C2
socle, cosocleC23×C19C24
prime radicalC24×D19C22
hypercenter#380D19
hypocenterC19C2×#380
LCSG ▷ C22×C19 ▷ C19
UCSC1 ◁ C23 ◁ #380

1232 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 608

Conjugacy classes & character table

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

Relationships

maximal subgroup ofD19×#1289, #18072421, D19×#1294, …
maximal normal subgroup ofD19×#1289, #18072421, D19×#1294, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 6879);