Finite Group Databasebeta

C2×#14579084 #19098553

order5056
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C23

Aliases

direct productC2×#14579084

Splittings

SylowC79 ⋊ C2×#103

Subgroups

subgroupG/H
centerC23C22⋊D79
commutatorC4×C79C22×C4
FrattiniC2×C4C22×D79
FittingC2×C4⋊C4×C79C2
socleC23×C79D4
hypercenterC2×C4⋊C4D79
hypocenterC79C2×#103
LCSG ▷ C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C22×C4 ◁ C2×C4⋊C4

162 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

808 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(5056, 539);