Finite Group Databasebeta

C2×C4×D4×Dic43 #25254789

order11008
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C29×C4

Aliases

direct productC2×C4×D4×Dic43

Splittings

SylowC43 ⋊ C2×C42×D4

Subgroups

subgroupG/H
centerC23×C4C22×D43
commutatorC2×C43C23×C42
FrattiniC23C24×D43
FittingC22×C4×D4×C43C2
socleC24×C43C24
prime radicalC23×D4×C43C22
cosocleC23×C43C25
hypercenterC22×C4×D4D43
hypocenterC43C2×C42×D4
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C23×C4 ◁ C22×C4×D4

5694 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, 327760);