Finite Group Databasebeta

C2×#31799882 #47985586

order35456
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C28

Aliases

direct productC2×#31799882

Splittings

SylowC277 ⋊ C2×#386

Subgroups

subgroupG/H
centerC24C22×D277
commutatorC22×C277C23×C4
FrattiniC23C23×D277
Fitting, prime radicalC23×D4×C277C2
socleC24×C277C23
cosocleC23×C277C24
hypercenterC23×D4D277
hypocenterC277C2×#386
LCSG ▷ C22×C277 ▷ C277
UCSC1 ◁ C24 ◁ C23×D4

1576 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 17728

Conjugacy classes & character table

5576 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35456, 6929);