Finite Group Databasebeta

C2×#14544559 #17968463

order4352
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4

Aliases

direct productC2×#14544559

Splittings

FittingC2×C17×#102 ⋊ C4
SylowC17 ⋊ C2×#1764

Subgroups

subgroupG/H
centerC23D4×#595
commutatorC4×C17C22×C42
FrattiniC2×C4C23×#595
FittingC2×C17×#102C4
socleC23×C17C4×D4
prime radicalC22×#63254C22
cosocleC2×C4×D17C24
hypercenterC2×#102#595
hypocenterC17C2×#1764
LCSG ▷ C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C22×C4 ◁ C2×#102

1558 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1088

Conjugacy classes & character table

224 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1103707);