Finite Group Databasebeta

C2×#19146505 #25973029

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

Aliases

direct productC2×#19146505

Splittings

FittingC2×C43×#452 ⋊ C2
SylowC43 ⋊ C2×#3302

Subgroups

subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#452C2
socleC23×C43C22×D4
prime radicalC2×#14583548C2
hypercenterC2×#452D43
hypocenterC43C2×#3302
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#452

2146 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

868 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1046000);