Finite Group Databasebeta

D4×#13063333 #25960566

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct productD4×#13063333

Splittings

FittingD4×M16×C43 ⋊ C2
SylowC43 ⋊ D4×#131

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D43
commutator, socleC22×C43C24×C4
FittingD4×M16×C43C2
prime radicalD4×#10621898C2
cosocleC2×C4×C43C25
hypercenterD4×M16D43
hypocenterC43D4×#131
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ D4×M16

2814 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1150 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1033537);