Finite Group Databasebeta

C2×D8×#1057 #16795171

order3328
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C26

Aliases

direct productC2×D8×#1057

Splittings

SylowC13 ⋊ C2×C8×D8

Subgroups

subgroupG/H
centerC23D4×#261
commutatorC4×C13C23×C8
FrattiniC2×C4C23×#261
Fitting, prime radicalC22×C13×D8C4
socleC23×C13C4×D4
cosocleC4×Dic13C24
hypercenterC22×D8#261
hypocenterC13C2×C8×D8
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C22×C4 ◁ C22×D8

910 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

196 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1101820);