Finite Group Databasebeta

D13×#2978 #16727679

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

Aliases

direct productD13×#2978

Splittings

FittingC13×#2978 ⋊ C2
SylowC13 ⋊ C2×#2978

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D13
commutator, socleC22×C13C24×C4
FittingC13×#2978C2
prime radicalD13×#525C2
cosocleC2×C4×C13C25
hypercenter#2978D13
hypocenterC13C2×#2978
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ #2978

2250 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1034328);