Finite Group Databasebeta

C2×#19143986 #25963318

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C210

Aliases

direct productC2×#19143986

Splittings

FittingC2×C43×#525 ⋊ C2
SylowC43 ⋊ C2×#3025

Subgroups

subgroupG/H
centerC2×C4#13063293
commutator, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC2×C43×#525C2
socleC22×C43C2×#120
hypercenterC2×#525D43
hypocenterC43C2×#3025
LCSG ▷ C23×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C2×#525

5086 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1240 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1036289);