Finite Group Databasebeta

C8×#41×D13 #16727348

order3328
automorphism?
homologyAbelianization (H1) = C24×C8 · Schur multiplier (H2) = C29

Aliases

direct productC8×#41×D13

Splittings

FittingC8×C13×#41 ⋊ C2
SylowC13 ⋊ C2×C8×#41

Subgroups

subgroupG/H
centerC4×C8C22×D13
commutatorC2×C13C24×C8
FrattiniC2×C4C24×D13
FittingC8×C13×#41C2
socleC22×C13C24×C4
prime radicalC2×#41×D13C4
cosocleC2×C4×C13C25
hypercenterC8×#41D13
hypocenterC13C2×C8×#41
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C4×C8 ◁ C8×#41

2566 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1033997);