Finite Group Databasebeta

C4×#14582883 #25094274

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

Aliases

direct productC4×#14582883

Splittings

SylowC43 ⋊ C4×#413

Subgroups

subgroupG/H
centerC42C22⋊Dic43
commutatorC22×C43C22×C42
FrattiniC22×C4C23×D43
FittingC2×C4×#41×C43C2
socleC22×C43C22×C22⋊C4
prime radicalC22×#41×C43C22
cosocleC22×C4×C43C24
hypercenterC2×C4×#41D43
hypocenterC43C4×#413
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C42 ◁ C22×C42 ◁ C2×C4×#41

1570 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, 167245);