Finite Group Databasebeta

C2×#19138701 #25265164

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

Aliases

direct productC2×#19138701

Splittings

FittingC2×C43×#397 ⋊ C2
SylowC43 ⋊ C2×#2471

Subgroups

subgroupG/H
centerC24C23×D43
commutator, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC2×C43×#397C2
socleC24×C43C24
prime radicalC2×#14582808C2
hypercenterC2×#397D43
hypocenterC43C2×#2471
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#397

3330 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1000 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 338135);