Finite Group Databasebeta

C2×#13131692 #16808633

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28

Aliases

direct productC2×#13131692

Splittings

SylowC13 ⋊ C2×#2974

Subgroups

subgroupG/H
centerC23C23×#261
commutatorC22×C13C24×C4
FrattiniC22C24×#261
Fitting, prime radicalC23×D4×C13C4
socleC23×C13C23×C4
cosocleC2×Dic13C25
hypercenterC23×D4#261
hypocenterC13C2×#2974
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C23×D4

2654 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

220 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1115282);