Finite Group Databasebeta

D43×#2162 #25249658

order11008
automorphism?
homologyAbelianization (H1) = C23×C16 · Schur multiplier (H2) = C24×C4

Aliases

direct productD43×#2162

Splittings

FittingC43×#2162 ⋊ C2
SylowC43 ⋊ C2×#2162

Subgroups

subgroupG/H
centerC4×C8C22×D43
commutatorC2×C43C23×C16
FrattiniC2×C8C23×D43
FittingC43×#2162C2
socleC22×C43C23×C8
prime radicalC23×D43C2×C8
cosocleC2×C8×C43C24
hypercenter#2162D43
hypocenterC43C2×#2162
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C4×C8 ◁ #2162

726 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, 322629);