Finite Group Databasebeta

D43×#3007 #25962975

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C210

Aliases

direct productD43×#3007

Splittings

FittingC43×#3007 ⋊ C2
SylowC43 ⋊ C2×#3007

Subgroups

subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3007C2
socleC22×C43C23×D4
prime radicalC22×#41×D43C2
hypercenter#3007D43
hypocenterC43C2×#3007
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3007

5078 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1035946);