Finite Group Databasebeta

C2×#19138363 #25264499

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

Aliases

direct productC2×#19138363

Splittings

FittingC2×C43×#390 ⋊ C2
SylowC43 ⋊ C2×#2445

Subgroups

subgroupG/H
centerC24C23×D43
commutator, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC2×C43×#390C2
socleC24×C43C24
prime radicalC22×#13063321C2
hypercenterC2×#390D43
hypocenterC43C2×#2445
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#390

4110 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, 337470);