Finite Group Databasebeta

C4×#11718143 #15768100

order3328
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C23×C42

Aliases

direct productC4×#11718143

Splittings

SylowC13 ⋊ C4×#340

Subgroups

subgroupG/H
centerC23×C4D52
commutatorC4×C13C43
FrattiniC23×C4C22×D13
FittingC22×C4×C8×C13C2
socle, prime radicalC24×C13C2×D4
cosocleC23×C4×C13C23
hypercenterC22×C4×C8D13
hypocenterC13C4×#340
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23×C4 ◁ C22×C42 ◁ C22×C4×C8

1182 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3328

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 74749);