Finite Group Databasebeta

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D4×#13063281 #25255990

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28×C4

Aliases

direct productD4×#13063281

Splittings

SylowC43 ⋊ D4×#117

Subgroups

subgroupG/H
center, FrattiniC23C24×D43
commutatorC22×C43C24×C4
FittingD4×C22⋊C4×C43C2
socle, cosocleC23×C43C25
prime radicalC23×D4×C43C22
hypercenterD4×C22⋊C4D43
hypocenterC43D4×#117
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ D4×C22⋊C4

3562 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, 328961);