Finite Group Databasebeta

C2×#19140158 #25267224

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productC2×#19140158

Splittings

FittingC2×C43×#386 ⋊ C2
SylowC43 ⋊ C2×#2598

Subgroups

subgroupG/H
centerC24C23×D43
commutator, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC2×C43×#386C2
socleC24×C43C24
prime radicalC2×#14582807C2
hypercenterC2×#386D43
hypocenterC43C2×#2598
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#386

3502 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1252 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 340195);