Finite Group Databasebeta

C2×D976 #16840183

order3904
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C23

Aliases

direct productC2×D976

Splittings

FittingC2×C16×C61 ⋊ C2
SylowC61 ⋊ C2×D16

Subgroups

subgroupG/H
centerC22D488
commutator, cosocleC8×C61C23
FrattiniC8C22×D61
FittingC2×C16×C61C2
socleC22×C61D8
hypercenterC2×C16D61
hypocenterC61C2×D16
LCSG ▷ C8×C61 ▷ C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×C8 ◁ C2×C16

98 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1952

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3904, 970);