Finite Group Databasebeta

C8×#41×D43 #25961026

order11008
automorphism?
homologyAbelianization (H1) = C24×C8 · Schur multiplier (H2) = C29

Aliases

direct productC8×#41×D43

Splittings

FittingC8×#41×C43 ⋊ C2
SylowC43 ⋊ C2×C8×#41

Subgroups

subgroupG/H
centerC4×C8C22×D43
commutatorC2×C43C24×C8
FrattiniC2×C4C24×D43
FittingC8×#41×C43C2
socleC22×C43C24×C4
prime radicalC2×#41×D43C4
cosocleC2×C4×C43C25
hypercenterC8×#41D43
hypocenterC43C2×C8×#41
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C4×C8 ◁ C8×#41

2566 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1840 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1033997);