Finite Group Databasebeta

Q8×C16×D43 #25250076

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

Aliases

direct productQ8×C16×D43

Splittings

FittingQ8×C16×C43 ⋊ C2
SylowC43 ⋊ C2×Q8×C16

Subgroups

subgroupG/H
centerC2×C16C22×D43
commutatorC2×C43C23×C16
FrattiniC2×C8C23×D43
FittingQ8×C16×C43C2
socleC22×C43C23×C8
prime radicalC22×D43C22×C8
cosocleC2×C8×C43C24
hypercenterQ8×C16D43
hypocenterC43C2×Q8×C16
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C16 ◁ Q8×C16

582 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, 323047);