Finite Group Databasebeta

D43×Q8⋊C16 #25006394

order11008
automorphism?
homologyAbelianization (H1) = C22×C16 · Schur multiplier (H2) = C23

Aliases

direct productD43×Q8⋊C16

Splittings

FittingC43×Q8⋊C16 ⋊ C2
SylowC43 ⋊ C2×Q8⋊C16

Subgroups

subgroupG/H
centerC2×C8D4×D43
commutatorC4×C43C22×C16
FrattiniC4×C8C22×D43
FittingC43×Q8⋊C16C2
socleC22×C43C2×C22⋊C8
prime radicalC22×D43C22⋊C8
cosocleC4×C8×C43C23
hypercenterQ8⋊C16D43
hypocenterC43C2×Q8⋊C16
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C8 ◁ C4×C8 ◁ Q8⋊C16

382 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1288 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 79365);