Finite Group Databasebeta

C2×#19145765 #25968629

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct productC2×#19145765

Splittings

FittingC2×C43×#431 ⋊ C2
SylowC43 ⋊ C2×#3232

Subgroups

subgroupG/H
centerC23C22×D172
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#431C2
socleC23×C43C22×D4
prime radicalC2×#13063299C22
hypercenterC2×#431D43
hypocenterC43C2×#3232
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C22×C42 ◁ C2×#431

1822 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1744 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1041600);