Finite Group Databasebeta

C4×C22⋊Q8×D43 #25255039

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

Aliases

direct productC4×C22⋊Q8×D43

Splittings

FittingC4×C22⋊Q8×C43 ⋊ C2
SylowC43 ⋊ C2×C4×C22⋊Q8

Subgroups

subgroupG/H
centerC22×C4C23×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
FittingC4×C22⋊Q8×C43C2
socle, cosocleC23×C43C25
prime radicalC24×D43C23
hypercenterC4×C22⋊Q8D43
hypocenterC43C2×C4×C22⋊Q8
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C4×C22⋊Q8

3854 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, 328010);