Finite Group Databasebeta

← Prev (#25006411) Next (#25006413) →

C2×#19132577 #25006412

order11008
automorphism?
homologyAbelianization (H1) = C22×C8 · Schur multiplier (H2) = C22

Aliases

direct productC2×#19132577

Splittings

SylowC43 ⋊ C2×#1338

Subgroups

subgroupG/H
centerC22×C4C22⋊Dic43
commutatorC2×C4×C43C22×C8
FrattiniC4×C8C22×D43
FittingC2×C43×#446C2
socle, prime radicalC23×C43C22⋊C8
cosocleC4×C8×C43C23
hypercenterC2×#446D43
hypocenterC43C2×#1338
LCSG ▷ C2×C4×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C2×C4×C8 ◁ C2×#446

346 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1252 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 79383);