Finite Group Databasebeta

C2×#13128039 #16769517

order3328
automorphism?
homologyAbelianization (H1) = C25×C4 · Schur multiplier (H2) = C214

Aliases

direct productC2×#13128039

Splittings

SylowC13 ⋊ C2×#3428

Subgroups

subgroupG/H
centerC22×C4C23×D13
commutatorC2×C13C25×C4
FrattiniC22C25×D13
Fitting, prime radicalC23×C13×#41C2
socleC23×C13C25
cosocleC22×C13C26
hypercenterC23×#41D13
hypocenterC13C2×#3428
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C23×#41

11534 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1076166);