Finite Group Databasebeta

← Prev (#25011939) Next (#25011941) →

C16×Dic43⋊C4 #25011940

order11008
automorphism?
homologyAbelianization (H1) = C2×C4×C16 · Schur multiplier (H2) = C22×C4

Aliases

direct productC16×Dic43⋊C4

Splittings

SylowC43 ⋊ C16×C4⋊C4

Subgroups

subgroupG/H
centerC22×C16C2×D43
commutatorC2×C43C2×C4×C16
FrattiniC22×C8C22×D43
FittingC2×C4×C16×C43C2
socle, prime radicalC23×C43C22×C8
cosocleC22×C8×C43C23
hypercenterC2×C4×C16D43
hypocenterC43C16×C4⋊C4
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C16 ◁ C2×C4×C16

398 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2848 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 84911);