Finite Group Databasebeta

C2×#13131058 #16806754

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

Aliases

direct productC2×#13131058

Splittings

SylowC13 ⋊ C2×#2110

Subgroups

subgroupG/H
centerC2×C8C4×#261
commutatorC4×C13C22×C42
FrattiniC2×C4C23×#261
FittingC2×C4×C8×C13C4
socleC22×C13C2×#97
prime radicalC23×D13M16
cosocleC2×#1055C24
hypercenterC2×C4×C8#261
hypocenterC13C2×#2110
LCSG ▷ C4×C13 ▷ C13
UCSC1 ◁ C2×C8 ◁ C2×C4×C8

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, 1113403);