Finite Group Databasebeta

D43×#2153 #25249594

order11008
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C25

Aliases

direct productD43×#2153

Splittings

FittingC43×#2153 ⋊ C2
SylowC43 ⋊ C2×#2153

Subgroups

subgroupG/H
centerC8C2×D4×D43
commutatorC4×C43C23×C8
FrattiniC2×C8C23×D43
FittingC43×#2153C2
socleC2×C43C22×C4⋊C8
prime radicalC23×D43M16
cosocleC2×C8×C43C24
hypercenter#2153D43
hypocenterC43C2×#2153
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C8 ◁ C22×C8 ◁ #2153

698 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, 322565);