Finite Group Databasebeta

#97×Dic118 #28587356

order15104
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25

Aliases

direct product#97×Dic118

Splittings

SylowC59 ⋊ Q8×#97

Subgroups

subgroupG/H
center, FrattiniC22×C4C23×D59
commutatorC22×C59C22×C42
FittingC4×#97×C59C2
socle, prime radicalC23×C59C23×C4
cosocleC22×C4×C59C24
hypercenterC4×#97D59
hypocenterC59Q8×#97
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C22×C4 ◁ C4×#97

954 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 15104

Conjugacy classes & character table

2420 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15104, 168235);