Finite Group Databasebeta

C2×#13117888 #16022504

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct productC2×#13117888

Splittings

SylowC13 ⋊ C2×#2364

Subgroups

subgroupG/H
centerC24C23×D13
commutatorC22×C13C24×C4
FrattiniC23C24×D13
Fitting, prime radicalC22×C13×#121C2
socleC24×C13C24
cosocleC23×C13C25
hypercenterC22×#121D13
hypocenterC13C2×#2364
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C24 ◁ C22×#121

4262 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 329153);