Finite Group Databasebeta

C2×#19136573 #25250544

order11008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct productC2×#19136573

Splittings

SylowC43 ⋊ C2×#2195

Subgroups

subgroupG/H
centerC22#14583033
commutator, cosocleC2×C8×C43C24
FrattiniC2×C8C23×D43
Fitting, prime radicalC2×C43×#578C2
socleC22×C43#447
hypercenterC2×#578D43
hypocenterC43C2×#2195
LCSG ▷ C2×C8×C43 ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#131 ◁ C2×#578

1078 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

970 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 323515);