Finite Group Databasebeta

C2×#19134351 #25094101

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C42

Aliases

direct productC2×#19134351

Splittings

SylowC43 ⋊ C2×#1747

Subgroups

subgroupG/H
centerC2×C4C42×D43
commutatorC4×C43C22×C42
FrattiniC22×C4C23×D43
FittingC2×C43×#338C2
socleC22×C43#376
prime radicalC24×C43#41
cosocleC22×C4×C43C24
hypercenterC2×#338D43
hypocenterC43C2×#1747
LCSG ▷ C4×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C2×#338

930 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 167072);