Finite Group Databasebeta

#394×Dic43 #25018394

order11008
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C27

Aliases

direct product#394×Dic43

Splittings

SylowC43 ⋊ C4×#394

Subgroups

subgroupG/H
center, FrattiniC24C23×D43
commutatorC23×C43C23×C4
FittingC2×C43×#394C2
socle, cosocleC24×C43C24
prime radicalC23×D4×C43C22
hypercenterC2×#394D43
hypocenterC43C4×#394
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#394

2550 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, 91365);