Finite Group Databasebeta

C2×#19146284 #25971806

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

Aliases

direct productC2×#19146284

Splittings

FittingC2×C43×#448 ⋊ C2
SylowC43 ⋊ C2×D4×SD16

Subgroups

subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#448C2
socleC23×C43C22×D4
prime radicalC2×#14583533C2
hypercenterC2×#448D43
hypocenterC43C2×D4×SD16
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#448

3226 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, 1044777);