Finite Group Databasebeta

C2×#20295959 #28379454

order13952
automorphism?
homologyAbelianization (H1) = C22×C16 · Schur multiplier (H2) = C22

Aliases

direct productC2×#20295959

Splittings

SylowC109 ⋊ C2×M64

Subgroups

subgroupG/H
centerC2×C8C2×#89137
commutatorC2×C109C22×C16
FrattiniC8C22×#89137
FittingC2×C16×C109C4
socleC22×C109C2×C16
prime radicalC22×D109C16
cosocle#13182004C23
hypercenterC2×C16#89137
hypocenterC109C2×M64
LCSG ▷ C2×C109 ▷ C109
UCSC1 ◁ C2×C8 ◁ C2×C16

112 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 6976

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13952, 20932);