Finite Group Databasebeta

C2×#13114201 #15845154

order3328
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productC2×#13114201

Splittings

SylowC13 ⋊ C2×#1669

Subgroups

subgroupG/H
centerC23#88184
commutator, cosocleC42×C13C24
FrattiniC42C23×D13
FittingC2×C8×D4×C13C2
socleC23×C13#121
prime radicalC22×D4×C13D4
hypercenterC2×C8×D4D13
hypocenterC13C2×#1669
LCSG ▷ C42×C13 ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C8×D4

790 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 151803);