Finite Group Databasebeta

← Prev (#25255119) Next (#25255121) →

C2×C4⋊Q8×Dic43 #25255120

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct productC2×C4⋊Q8×Dic43

Splittings

SylowC43 ⋊ C2×C4×C4⋊Q8

Subgroups

subgroupG/H
centerC24C23×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
FittingC22×C4⋊Q8×C43C2
socle, prime radicalC24×C43C24
cosocleC23×C43C25
hypercenterC22×C4⋊Q8D43
hypocenterC43C2×C4×C4⋊Q8
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C24 ◁ C22×C4⋊Q8

3358 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, 328091);