Finite Group Databasebeta

C2×#556×D43 #26003605

order11008
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C213

Aliases

direct productC2×#556×D43

Splittings

FittingC2×C43×#556 ⋊ C2
SylowC43 ⋊ C22×#556

Subgroups

subgroupG/H
centerC23C24×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC2×C43×#556C2
socleC23×C43C25
prime radicalC22×D4×D43C22
hypercenterC2×#556D43
hypocenterC43C22×#556
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#556

7846 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1150 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1076576);