Finite Group Databasebeta

#336×Dic43 #25001742

order11008
automorphism?
homologyAbelianization (H1) = C42×C8 · Schur multiplier (H2) = C23×C42

Aliases

direct product#336×Dic43

Splittings

SylowC43 ⋊ C4×#336

Subgroups

subgroupG/H
center, FrattiniC23×C4C22×D43
commutatorC2×C43C42×C8
FittingC2×C43×#336C2
socle, prime radicalC24×C43C22×C4
cosocleC23×C4×C43C23
hypercenterC2×#336D43
hypocenterC43C4×#336
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C23×C4 ◁ C2×#336

1318 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, 74713);