Finite Group Databasebeta

C2×#19140408 #25262969

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

Aliases

direct productC2×#19140408

Splittings

SylowC43 ⋊ C2×#2627

Subgroups

subgroupG/H
centerC24C23×D43
commutator, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC23×C4⋊C4×C43C2
socleC24×C43C24
prime radicalC25×C43C23
hypercenterC23×C4⋊C4D43
hypocenterC43C2×#2627
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C23×C4⋊C4

2894 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, 335940);