Finite Group Databasebeta

C2×#19140400 #25262943

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C27×C4

Aliases

direct productC2×#19140400

Splittings

SylowC43 ⋊ C2×#2626

Subgroups

subgroupG/H
centerC24C23×D43
commutator, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC23×C22⋊C4×C43C2
socleC24×C43C24
prime radicalC26×C43C22
hypercenterC23×C22⋊C4D43
hypocenterC43C2×#2626
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C23×C22⋊C4

4142 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, 335914);