Finite Group Databasebeta

D4×C16×D43 #25249743

order11008
automorphism?
homologyAbelianization (H1) = C23×C16 · Schur multiplier (H2) = C26

Aliases

direct productD4×C16×D43

Splittings

FittingD4×C16×C43 ⋊ C2
SylowC43 ⋊ C2×D4×C16

Subgroups

subgroupG/H
centerC2×C16C22×D43
commutatorC2×C43C23×C16
FrattiniC2×C8C23×D43
FittingD4×C16×C43C2
socleC22×C43C23×C8
prime radicalC2×D4×D43C8
cosocleC2×C8×C43C24
hypercenterD4×C16D43
hypocenterC43C2×D4×C16
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C16 ◁ D4×C16

806 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, 322714);