Finite Group Databasebeta

C2×#21423317 #28564611

order15104
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productC2×#21423317

Splittings

SylowC59 ⋊ C2×#1645

Subgroups

subgroupG/H
centerC23#14273696
commutator, cosocleC42×C59C24
FrattiniC42C23×D59
FittingC2×Q82×C59C2
socle, prime radicalC23×C59#120
hypercenterC2×Q82D59
hypocenterC59C2×#1645
LCSG ▷ C42×C59 ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×Q82

978 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 15104

Conjugacy classes & character table

1502 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15104, 145490);