Finite Group Databasebeta

C2×D944 #16837823

order3776
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C23

Aliases

direct productC2×D944

Splittings

FittingC2×C16×C59 ⋊ C2
SylowC59 ⋊ C2×D16

Subgroups

subgroupG/H
centerC22D472
commutator, cosocleC8×C59C23
FrattiniC8C22×D59
FittingC2×C16×C59C2
socleC22×C59D8
hypercenterC2×C16D59
hypocenterC59C2×D16
LCSG ▷ C8×C59 ▷ C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×C8 ◁ C2×C16

98 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1888

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3776, 970);