Finite Group Databasebeta

C2×#14273648 #16837389

order3776
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C24

Aliases

direct productC2×#14273648

Splittings

SylowC59 ⋊ C2×#102

Subgroups

subgroupG/H
centerC23C22⋊D59
commutatorC4×C59C22×C4
FrattiniC2×C4C22×D59
Fitting, prime radicalC22×D4×C59C2
socleC23×C59D4
cosocleC2×C4×C59C23
hypercenterC22×D4D59
hypocenterC59C2×#102
LCSG ▷ C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C22×C4 ◁ C22×D4

202 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1888

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3776, 536);