Finite Group Databasebeta

C2×C4×#41×D43 #26003168

order11008
automorphism?
homologyAbelianization (H1) = C25×C4 · Schur multiplier (H2) = C214

Aliases

direct productC2×C4×#41×D43

Splittings

FittingC2×C4×#41×C43 ⋊ C2
SylowC43 ⋊ C22×C4×#41

Subgroups

subgroupG/H
centerC2×C42C22×D43
commutatorC2×C43C25×C4
FrattiniC22C25×D43
FittingC2×C4×#41×C43C2
socleC23×C43C25
prime radicalC22×#41×D43C2
cosocleC22×C43C26
hypercenterC2×C4×#41D43
hypocenterC43C22×C4×#41
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C42 ◁ C2×C4×#41

12878 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1840 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1076139);