Finite Group Databasebeta

C2×#20295862 #28377840

order13952
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C214

Aliases

direct productC2×#20295862

Splittings

FittingC22×#41×C109 ⋊ C2
SylowC109 ⋊ C2×#585

Subgroups

subgroupG/H
centerC2×C4C23×D109
commutator, cosocleC2×C109C26
FrattiniC2C25×D109
FittingC22×#41×C109C2
socleC22×C109C25
hypercenterC22×#41D109
hypocenterC109C2×#585
LCSG ▷ C2×C109 ▷ C109
UCSC1 ◁ C2×C4 ◁ C22×#41

5956 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3488

Conjugacy classes & character table

2228 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13952, 19318);