Finite Group Databasebeta

C2×D928 #16821790

order3712
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C23

Aliases

direct productC2×D928

Splittings

FittingC2×C29×C32 ⋊ C2
SylowC29 ⋊ C2×D32

Subgroups

subgroupG/H
centerC22D464
commutator, cosocleC16×C29C23
FrattiniC16C22×D29
FittingC2×C29×C32C2
socleC22×C29D16
hypercenterC2×C32D29
hypocenterC29C2×D32
LCSG ▷ C16×C29 ▷ C8×C29 ▷ C4×C29 ▷ C2×C29 ▷ C29
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×C8 ◁ C2×C16 ◁ C2×C32

120 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1856

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3712, 6808);