Finite Group Databasebeta

C2×#14273746 #16838181

order3776
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productC2×#14273746

Splittings

FittingC2×D8×C59 ⋊ C2
SylowC59 ⋊ C2×#135

Subgroups

subgroupG/H
centerC22D4×D59
commutator, cosocleC4×C59C24
FrattiniC4C23×D59
FittingC2×D8×C59C2
socleC22×C59C2×D4
hypercenterC2×D8D59
hypocenterC59C2×#135
LCSG ▷ C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×D8

266 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1888

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3776, 1328);