Finite Group Databasebeta

C4×#14582676 #25011424

order11008
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C42

Aliases

direct productC4×#14582676

Splittings

SylowC43 ⋊ C4×#347

Subgroups

subgroupG/H
centerC42C4×Dic43
commutatorC4×C43C43
FrattiniC22×C8C22×D43
FittingC4×M32×C43C2
socleC22×C43C2×#97
prime radicalC23×C43C2×M16
cosocleC22×C8×C43C23
hypercenterC4×M32D43
hypocenterC43C4×#347
LCSG ▷ C4×C43 ▷ C43
UCSC1 ◁ C42 ◁ C4×M32

418 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1768 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 84395);