Finite Group Databasebeta

#349×Dic43 #25011639

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

Aliases

direct product#349×Dic43

Splittings

SylowC43 ⋊ C4×#349

Subgroups

subgroupG/H
centerC2×C4C22⋊C4×D43
commutatorC22×C43C2×C4×C8
FrattiniC22×C8C22×D43
FittingC2×C43×#349C2
socleC22×C43C2×C22⋊C8
prime radicalC24×C43C2×C8
cosocleC22×C8×C43C23
hypercenterC2×#349D43
hypocenterC43C4×#349
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C22×C8 ◁ C2×#349

522 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, 84610);