Finite Group Databasebeta

C2×#19143989 #25963321

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

Aliases

direct productC2×#19143989

Splittings

FittingC2×C43×#410 ⋊ C2
SylowC43 ⋊ C2×#3025

Subgroups

subgroupG/H
centerC2×C4#13063295
commutator, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC2×C43×#410C2
socleC22×C43C2×#120
hypercenterC2×#410D43
hypocenterC43C2×#3025
LCSG ▷ C23×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C2×#410

5086 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

988 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1036292);