Finite Group Databasebeta

C2×#13131055 #16806749

order3328
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25

Aliases

direct productC2×#13131055

Splittings

FittingC22×C13×C16 ⋊ C4
SylowC13 ⋊ C2×#2110

Subgroups

subgroupG/H
centerC2×C8C4×#261
commutatorC4×C13C22×C42
FrattiniC8C23×#261
FittingC22×C13×C16C4
socleC22×C13C2×#97
prime radicalC23×D13M16
cosocleC8×D13C24
hypercenterC22×C16#261
hypocenterC13C2×#2110
LCSG ▷ C4×C13 ▷ C13
UCSC1 ◁ C2×C8 ◁ C22×C16

738 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1113398);