Finite Group Databasebeta

SD16×C43⋊C16 #25008364

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

Aliases

direct productSD16×C43⋊C16

Splittings

SylowC43 ⋊ C16×SD16

Subgroups

subgroupG/H
centerC2×C8D4×D43
commutatorC4×C43C22×C16
FrattiniC4×C8C22×D43
FittingC8×SD16×C43C2
socleC22×C43C8×D4
prime radicalC2×D4×C43C2×C8
cosocleC4×C8×C43C23
hypercenterC8×SD16D43
hypocenterC43C16×SD16
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C8 ◁ C4×C8 ◁ C8×SD16

238 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, 81335);