Finite Group Databasebeta

C2×#14273667 #16837817

order3776
automorphism?
homologyAbelianization (H1) = C22×C8 · Schur multiplier (H2) = C22

Aliases

direct productC2×#14273667

Splittings

SylowC59 ⋊ C2×M32

Subgroups

subgroupG/H
centerC2×C8C2×D59
commutatorC2×C59C22×C8
FrattiniC8C22×D59
FittingC22×C8×C59C2
socleC22×C59C2×C8
prime radicalC23×C59C8
cosocleC8×C59C23
hypercenterC22×C8D59
hypocenterC59C2×M32
LCSG ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C8 ◁ C22×C8

90 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1888

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3776, 964);