Finite Group Databasebeta

C8×C59⋊#95 #28493845

order15104
automorphism?
homologyAbelianization (H1) = C42×C8 · Schur multiplier (H2) = C23×C42

Aliases

direct productC8×C59⋊#95

Splittings

SylowC59 ⋊ C8×#95

Subgroups

subgroupG/H
centerC23×C8C2×D59
commutatorC2×C59C42×C8
FrattiniC23×C4C22×D59
FittingC22×C4×C8×C59C2
socle, prime radicalC24×C59C22×C4
cosocleC23×C4×C59C23
hypercenterC22×C4×C8D59
hypocenterC59C8×#95
LCSG ▷ C2×C59 ▷ C59
UCSC1 ◁ C23×C8 ◁ C22×C4×C8

1174 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 15104

Conjugacy classes & character table

3872 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15104, 74724);