Finite Group Databasebeta

C2×#19143854 #25962980

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

Aliases

direct productC2×#19143854

Splittings

FittingC2×C43×#451 ⋊ C2
SylowC43 ⋊ C2×#3007

Subgroups

subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#451C2
socleC23×C43C22×D4
prime radicalC23×#10621902C2
hypercenterC2×#451D43
hypocenterC43C2×#3007
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#451

5078 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

862 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1035951);