Finite Group Databasebeta

C2×#14579105 #19098987

order5056
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×#14579105

Splittings

SylowC79 ⋊ C2×SD32

Subgroups

subgroupG/H
centerC22#11929609
commutatorC8×C79C23
FrattiniC8C22×D79
FittingC2×D8×C79C2
socleC22×C79D8
hypercenterC2×D8D79
hypocenterC79C2×SD32
LCSG ▷ C8×C79 ▷ C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×C8 ◁ C2×D8

90 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

568 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(5056, 973);