Finite Group Databasebeta

C2×#14544572 #17968491

order4352
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4

Aliases

direct productC2×#14544572

Splittings

SylowC17 ⋊ C2×#1768

Subgroups

subgroupG/H
centerC24C22×#595
commutatorC22×C17C22×C42
FrattiniC23C23×#595
FittingC2×C17×#95C4
socle, prime radicalC24×C17C22×C4
cosocleC22×Dic17C24
hypercenterC2×#95#595
hypocenterC17C2×#1768
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C24 ◁ C2×#95

1246 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 4352

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1103735);