Finite Group Databasebeta

C8×D4×D19 #14572304

order2432
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C26

Aliases

direct productC8×D4×D19

Splittings

FittingC8×D4×C19 ⋊ C2
SylowC19 ⋊ C2×C8×D4

Subgroups

subgroupG/H
centerC2×C8C22×D19
commutatorC2×C19C23×C8
FrattiniC2×C4C23×D19
FittingC8×D4×C19C2
socleC22×C19C23×C4
prime radicalC2×D4×D19C4
cosocleC2×C4×C19C24
hypercenterC8×D4D19
hypocenterC19C2×C8×D4
LCSG ▷ C2×C19 ▷ C19
UCSC1 ◁ C2×C8 ◁ C8×D4

616 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 608

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 13179);