Finite Group Databasebeta

C2×#19138093 #25264832

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

Aliases

direct productC2×#19138093

Splittings

FittingC2×C43×#400 ⋊ C2
SylowC43 ⋊ C2×#2421

Subgroups

subgroupG/H
centerC24C23×D43
commutator, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC2×C43×#400C2
socleC24×C43C24
prime radicalC24×D43C23
hypercenterC2×#400D43
hypocenterC43C2×#2421
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#400

2702 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, 337803);