Finite Group Databasebeta

D43×#2222 #25251156

order11008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productD43×#2222

Splittings

FittingC43×#2222 ⋊ C2
SylowC43 ⋊ C2×#2222

Subgroups

subgroupG/H
centerC2#466×D43
commutator, cosocleC2×C8×C43C24
FrattiniC2×C8C23×D43
FittingC43×#2222C2
socleC2×C43C2×#466
prime radical#41×D43D4
hypercenter#2222D43
hypocenterC43C2×#2222
LCSG ▷ C2×C8×C43 ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2 ◁ C2×C4 ◁ #131 ◁ #2222

638 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

598 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 324127);