Finite Group Databasebeta

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C22×C4⋊Q8×D43 #26003285

order11008
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C214

Aliases

direct productC22×C4⋊Q8×D43

Splittings

FittingC22×C4⋊Q8×C43 ⋊ C2
SylowC43 ⋊ C23×C4⋊Q8

Subgroups

subgroupG/H
centerC24C23×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC22×C4⋊Q8×C43C2
socleC24×C43C24
prime radicalC24×D43C23
hypercenterC22×C4⋊Q8D43
hypocenterC43C23×C4⋊Q8
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C24 ◁ C22×C4⋊Q8

12190 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, 1076256);