Finite Group Databasebeta

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C4×#14582882 #25094273

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4

Aliases

direct productC4×#14582882

Splittings

FittingC4×#101×C43 ⋊ C2
SylowC43 ⋊ C4×#413

Subgroups

subgroupG/H
centerC2×C4C22⋊C4×D43
commutatorC22×C43C22×C42
FrattiniC22×C4C23×D43
FittingC4×#101×C43C2
socleC22×C43C22×C22⋊C4
prime radicalC22×#10621902C22
cosocleC22×C4×C43C24
hypercenterC4×#101D43
hypocenterC43C4×#413
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ C4×#101

1570 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 167244);