Finite Group Databasebeta

C2×#335×D43 #25065564

order11008
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C26

Aliases

direct productC2×#335×D43

Splittings

FittingC2×C43×#335 ⋊ C2
SylowC43 ⋊ C22×#335

Subgroups

subgroupG/H
centerC22×C4D4×D43
commutatorC4×C43C23×C8
FrattiniC42C23×D43
FittingC2×C43×#335C2
socleC23×C43C2×C4⋊C4
prime radicalC23×D43C4⋊C4
cosocleC42×C43C24
hypercenterC2×#335D43
hypocenterC43C22×#335
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C2×#335

942 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, 138535);