Finite Group Databasebeta

#322×Dic43 #24985944

order11008
automorphism?
homologyAbelianization (H1) = C42×C8 · Schur multiplier (H2) = C43

Aliases

direct product#322×Dic43

Splittings

SylowC43 ⋊ C4×#322

Subgroups

subgroupG/H
center, FrattiniC2×C42C22×D43
commutatorC2×C43C42×C8
FittingC2×C43×#322C2
socle, prime radicalC23×C43C2×C42
cosocleC2×C42×C43C23
hypercenterC2×#322D43
hypocenterC43C4×#322
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C42 ◁ C2×#322

654 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, 58915);