Finite Group Databasebeta

D43×#3461 #26003416

order11008
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C213

Aliases

direct productD43×#3461

Splittings

FittingC43×#3461 ⋊ C2
SylowC43 ⋊ C2×#3461

Subgroups

subgroupG/H
centerC2×C4C24×D43
commutator, socle, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC43×#3461C2
prime radical#537×D43C2
hypercenter#3461D43
hypocenterC43C2×#3461
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ #3461

7130 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, 1076387);