Finite Group Databasebeta

C2×#401×D59 #28754982

order15104
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productC2×#401×D59

Splittings

FittingC2×C59×#401 ⋊ C2
SylowC59 ⋊ C22×#401

Subgroups

subgroupG/H
centerC24C23×D59
commutator, cosocleC23×C59C25
FrattiniC23C24×D59
FittingC2×C59×#401C2
socleC24×C59C24
prime radicalC24×D59C23
hypercenterC2×#401D59
hypocenterC59C22×#401
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C24 ◁ C2×#401

2942 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7552

Conjugacy classes & character table

1364 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15104, 335861);