Finite Group Databasebeta

D59×C22⋊#95 #28509776

order15104
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C210

Aliases

direct productD59×C22⋊#95

Splittings

FittingC59×C22⋊#95 ⋊ C2
SylowC59 ⋊ C2×C22⋊#95

Subgroups

subgroupG/H
center, FrattiniC24C23×D59
commutatorC22×C59C22×C42
FittingC59×C22⋊#95C2
socle, cosocleC24×C59C24
prime radicalC25×D59C22
hypercenterC22⋊#95D59
hypocenterC59C2×C22⋊#95
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C24 ◁ C22⋊#95

7630 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3776

Conjugacy classes & character table

1736 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15104, 90655);