Finite Group Databasebeta

← Prev (#25102766) Next (#25102768) →

C4×#14583091 #25102767

order11008
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productC4×#14583091

Splittings

FittingC4×#127×C43 ⋊ C2
SylowC43 ⋊ C4×#459

Subgroups

subgroupG/H
centerC22×C4C2×C22⋊D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC4×#127×C43C2
socleC23×C43C22×D4
prime radicalC2×#14583091C2
cosocleC22×C4×C43C24
hypercenterC4×#127D43
hypocenterC43C4×#459
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C43 ◁ C4×#127

1272 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1252 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 175738);