Finite Group Databasebeta

C2×#19148173 #26003667

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

Aliases

direct productC2×#19148173

Splittings

FittingC2×C43×#533 ⋊ C2
SylowC43 ⋊ C2×Q8×#41

Subgroups

subgroupG/H
centerC22×C4C23×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC2×C43×#533C2
socleC23×C43C25
prime radicalC22×#10621898C22
hypercenterC2×#533D43
hypocenterC43C2×Q8×#41
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C2×#533

7522 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1276 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1076638);