Finite Group Databasebeta

C4×#11718895 #15860447

order3328
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4

Aliases

direct productC4×#11718895

Splittings

SylowC13 ⋊ C4×#408

Subgroups

subgroupG/H
centerC2×C42C22×D13
commutatorC22×C13C22×C42
FrattiniC22×C4C23×D13
FittingC2×C4×C13×#41C2
socleC23×C13C23×C4
prime radicalC22×C13×#41C22
cosocleC22×C4×C13C24
hypercenterC2×C4×#41D13
hypocenterC13C4×#408
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C2×C42 ◁ C2×C4×#41

1662 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 167096);