Finite Group Databasebeta

C2×#14530042 #17062111

order4352
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct productC2×#14530042

Splittings

SylowC17 ⋊ C2×#2046

Subgroups

subgroupG/H
centerC23#10587624
commutator, cosocleC22×C4×C17C24
FrattiniC22×C4C23×D17
FittingC23×SD16×C17C2
socleC23×C17#121
prime radicalC23×D4×C17C22
hypercenterC23×SD16D17
hypocenterC17C2×#2046
LCSG ▷ C22×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C23×C4 ◁ C23×SD16

1458 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1088

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 197355);