Finite Group Databasebeta

C2×#14519716 #16840176

order3904
automorphism?
homologyAbelianization (H1) = C22×C8 · Schur multiplier (H2) = C22

Aliases

direct productC2×#14519716

Splittings

FittingC2×C16×C61 ⋊ C2
SylowC61 ⋊ C2×M32

Subgroups

subgroupG/H
centerC2×C8C2×D61
commutatorC2×C61C22×C8
FrattiniC8C22×D61
FittingC2×C16×C61C2
socleC22×C61C2×C8
prime radicalC22×D61C8
cosocleC8×C61C23
hypercenterC2×C16D61
hypocenterC61C2×M32
LCSG ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C8 ◁ C2×C16

90 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1952

Conjugacy classes & character table

1000 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3904, 963);