Finite Group Databasebeta

#41×Dic59 #16837873

order3776
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct product#41×Dic59

Splittings

SylowC59 ⋊ C4×#41

Subgroups

subgroupG/H
centerC2×C4C22×D59
commutatorC2×C59C23×C4
FrattiniC22C23×D59
Fitting, prime radicalC2×#41×C59C2
socle, cosocleC22×C59C24
hypercenterC2×#41D59
hypocenterC59C4×#41
LCSG ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C2×#41

310 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1888

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3776, 1020);