Finite Group Databasebeta

C2×#124×Dic43 #25255071

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28×C4

Aliases

direct productC2×#124×Dic43

Splittings

SylowC43 ⋊ C2×C4×#124

Subgroups

subgroupG/H
centerC24C23×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
FittingC22×#124×C43C2
socleC24×C43C24
prime radicalC23×D4×C43C22
cosocleC23×C43C25
hypercenterC22×#124D43
hypocenterC43C2×C4×#124
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C24 ◁ C22×#124

3790 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1288 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 328042);