Finite Group Databasebeta

D43×#1953 #25100161

order11008
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productD43×#1953

Splittings

FittingC43×#1953 ⋊ C2
SylowC43 ⋊ C2×#1953

Subgroups

subgroupG/H
centerC4#121×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1953C2
socleC2×C43C2×#389
prime radicalC23×D43C2×Q8
cosocleC22×C4×C43C24
hypercenter#1953D43
hypocenterC43C2×#1953
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C4 ◁ C22×C4 ◁ #1953

858 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, 173132);