Finite Group Databasebeta

#365×Dic43 #25011983

order11008
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4

Aliases

direct product#365×Dic43

Splittings

SylowC43 ⋊ C4×#365

Subgroups

subgroupG/H
centerC22#106×D43
commutatorC8×C43C2×C42
FrattiniC22×C8C22×D43
FittingC2×C43×#365C2
socleC22×C43C2×#106
prime radicalC23×C43C2×SD16
cosocleC22×C8×C43C23
hypercenterC2×#365D43
hypocenterC43C4×#365
LCSG ▷ C8×C43 ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×C8 ◁ C2×#365

330 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 84954);