Finite Group Databasebeta

C2×#20295892 #28378692

order13952
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C25

Aliases

direct productC2×#20295892

Splittings

SylowC109 ⋊ C2×#336

Subgroups

subgroupG/H
centerC24C2×#89137
commutatorC2×C109C2×C4×C8
FrattiniC23C22×#89137
FittingC23×C4×C109C4
socle, prime radicalC24×C109C2×C4
cosocleC22×Dic109C23
hypercenterC23×C4#89137
hypocenterC109C2×#336
LCSG ▷ C2×C109 ▷ C109
UCSC1 ◁ C24 ◁ C23×C4

528 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 13952

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, 20170);