Finite Group Databasebeta

C2×D4×#10621898 #26003557

order11008
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C214

Aliases

direct productC2×D4×#10621898

Splittings

FittingC22×C4×D4×C43 ⋊ C2
SylowC43 ⋊ C2×D4×#41

Subgroups

subgroupG/H
centerC22×C4C23×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC22×C4×D4×C43C2
socleC23×C43C25
hypercenterC22×C4×D4D43
hypocenterC43C2×D4×#41
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C22×C4×D4

12314 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1780 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1076528);