Finite Group Databasebeta

C16×#10621900 #25250112

order11008
automorphism?
homologyAbelianization (H1) = C23×C16 · Schur multiplier (H2) = C25

Aliases

direct productC16×#10621900

Splittings

FittingD4×C16×C43 ⋊ C2
SylowC43 ⋊ C16×#41

Subgroups

subgroupG/H
centerC2×C16C22×D43
commutatorC2×C43C23×C16
FrattiniC2×C8C23×D43
FittingD4×C16×C43C2
socleC22×C43C23×C8
prime radicalC2×#10621900C8
cosocleC2×C8×C43C24
hypercenterD4×C16D43
hypocenterC43C16×#41
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C16 ◁ D4×C16

602 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1840 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 323083);