Finite Group Databasebeta

D43×#1913 #25098604

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

Aliases

direct productD43×#1913

Splittings

FittingC43×#1913 ⋊ C2
SylowC43 ⋊ C2×#1913

Subgroups

subgroupG/H
centerC2#386×D43
commutatorC23×C43C23×C4
FrattiniC24C23×D43
FittingC43×#1913C2
socleC2×C43C2×#386
prime radical#534×D43C2
cosocleC24×C43C24
hypercenter#1913D43
hypocenterC43C2×#1913
LCSG ▷ C23×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2 ◁ C24 ◁ #1913

2078 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

667 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 171575);