Finite Group Databasebeta

C2×#13118127 #16029197

order3328
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct productC2×#13118127

Splittings

SylowC13 ⋊ C2×#2399

Subgroups

subgroupG/H
centerC23×C4C22×D13
commutator, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC22×C4×Q8×C13C2
socle, prime radicalC24×C13C24
hypercenterC22×C4×Q8D13
hypocenterC13C2×#2399
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23×C4 ◁ C22×C4×Q8

2814 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3328

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 335846);