Finite Group Databasebeta

#347×Dic43 #25011423

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

Aliases

direct product#347×Dic43

Splittings

SylowC43 ⋊ C4×#347

Subgroups

subgroupG/H
centerC2×C4C42×D43
commutatorC4×C43C43
FrattiniC22×C8C22×D43
FittingC2×C43×#347C2
socleC22×C43C2×#97
prime radicalC23×C43C2×M16
cosocleC22×C8×C43C23
hypercenterC2×#347D43
hypocenterC43C4×#347
LCSG ▷ C4×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C2×#347

418 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 84394);