Finite Group Databasebeta

#350×Dic43 #25011647

order11008
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4

Aliases

direct product#350×Dic43

Splittings

SylowC43 ⋊ C4×#350

Subgroups

subgroupG/H
centerC2×C8D4×D43
commutatorC4×C43C2×C4×C8
FrattiniC22×C8C22×D43
FittingC2×C43×#350C2
socleC22×C43C2×C22⋊C8
prime radicalC2×#41×C43C2×C4
cosocleC22×C8×C43C23
hypercenterC2×#350D43
hypocenterC43C4×#350
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C8 ◁ C22×C8 ◁ C2×#350

490 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, 84618);