Finite Group Databasebeta

C2×#20296104 #28380023

order13952
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct productC2×#20296104

Splittings

SylowC109 ⋊ C2×#568

Subgroups

subgroupG/H
centerC22C23×#89137
commutatorC2×C109C24×C4
FrattiniC2C24×#89137
FittingC22×D4×C109C4
socleC22×C109C23×C4
prime radicalC22×#13182028C2
cosocleDic109C25
hypercenterC22×D4#89137
hypocenterC109C2×#568
LCSG ▷ C2×C109 ▷ C109
UCSC1 ◁ C22 ◁ C22×D4

1460 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3488

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13952, 21501);