Finite Group Databasebeta

D43×#1910 #25098572

order11008
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26×C4

Aliases

direct productD43×#1910

Splittings

FittingC43×#1910 ⋊ C2
SylowC43 ⋊ C2×#1910

Subgroups

subgroupG/H
centerC2#386×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1910C2
socleC2×C43C2×#386
prime radical#535×D43C2
cosocleC22×C4×C43C24
hypercenter#1910D43
hypocenterC43C2×#1910
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2 ◁ C22×C4 ◁ #1910

1878 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, 171543);