Finite Group Databasebeta

C4×#14582659 #25001770

order11008
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C22×C42

Aliases

direct productC4×#14582659

Splittings

SylowC43 ⋊ C4×#339

Subgroups

subgroupG/H
centerC2×C42D172
commutatorC4×C43C43
FrattiniC23×C4C22×D43
FittingC2×C43×C43C2
socleC23×C43C2×C22⋊C4
prime radicalC24×C43C2×D4
cosocleC23×C4×C43C23
hypercenterC2×C43D43
hypocenterC43C4×#339
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C42 ◁ C22×C42 ◁ C2×C43

1214 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2800 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 74741);