Finite Group Databasebeta

C2×#95×Dic59 #28509757

order15104
automorphism?
homologyAbelianization (H1) = C2×C43 · Schur multiplier (H2) = C26×C42

Aliases

direct productC2×#95×Dic59

Splittings

SylowC59 ⋊ C2×C4×#95

Subgroups

subgroupG/H
centerC25C22×D59
commutatorC2×C59C2×C43
FrattiniC24C23×D59
FittingC22×#95×C59C2
socle, prime radicalC25×C59C23
cosocleC24×C59C24
hypercenterC22×#95D59
hypocenterC59C2×C4×#95
LCSG ▷ C2×C59 ▷ C59
UCSC1 ◁ C25 ◁ C22×#95

4462 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 15104

Conjugacy classes & character table

2480 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15104, 90636);