Finite Group Databasebeta

C2×#11927101 #14576926

order2432
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct productC2×#11927101

Splittings

SylowC19 ⋊ C2×#533

Subgroups

subgroupG/H
centerC22×C4C22×D19
commutator, cosocleC22×C19C25
FrattiniC22C24×D19
FittingC22×C42×C19C2
socleC23×C19C24
prime radicalC24×C19C23
hypercenterC22×C42D19
hypocenterC19C2×#533
LCSG ▷ C22×C19 ▷ C19
UCSC1 ◁ C22×C4 ◁ C22×C42

1168 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1216

Conjugacy classes & character table

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

Relationships

maximal subgroup of#18073922, #18073924, #18074001, …
maximal normal subgroup of#18073922, #18073924, #18074001, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 17801);