Finite Group Databasebeta

C2×#124×D19 #14576880

order2432
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28×C4

Aliases

direct productC2×#124×D19

Splittings

FittingC2×C19×#124 ⋊ C2
SylowC19 ⋊ C22×#124

Subgroups

subgroupG/H
centerC23C23×D19
commutator, cosocleC22×C19C25
FrattiniC22C24×D19
FittingC2×C19×#124C2
socleC23×C19C24
prime radicalC22×D4×D19C2
hypercenterC2×#124D19
hypocenterC19C22×#124
LCSG ▷ C22×C19 ▷ C19
UCSC1 ◁ C23 ◁ C2×#124

1880 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 of#18074004
maximal normal subgroup of#18074004

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 17755);