Finite Group Databasebeta

C2×#19143857 #25962983

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C210

Aliases

direct productC2×#19143857

Splittings

FittingC2×C43×#407 ⋊ C2
SylowC43 ⋊ C2×#3007

Subgroups

subgroupG/H
centerC23C22×D172
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#407C2
socleC23×C43C22×D4
prime radicalC23×#10621898C2
hypercenterC2×#407D43
hypocenterC43C2×#3007
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C24×C4 ◁ C2×#407

5078 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1240 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1035954);