Finite Group Databasebeta

#430×Dic43 #25094706

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4

Aliases

direct product#430×Dic43

Splittings

SylowC43 ⋊ C4×#430

Subgroups

subgroupG/H
centerC2×C4C2×D4×D43
commutatorC4×C43C22×C42
FrattiniC22×C4C23×D43
FittingC2×C43×#430C2
socleC22×C43C22×C4⋊C4
prime radicalC24×C43C2×Q8
cosocleC22×C4×C43C24
hypercenterC2×#430D43
hypocenterC43C4×#430
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C2×#430

1034 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, 167677);