Finite Group Databasebeta

D17×#2965 #17898759

order4352
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28

Aliases

direct productD17×#2965

Splittings

FittingC17×#2965 ⋊ C2
SylowC17 ⋊ C2×#2965

Subgroups

subgroupG/H
centerC42C23×D17
commutator, socleC22×C17C24×C4
FrattiniC2×C4C24×D17
FittingC17×#2965C2
prime radicalC2×#41×D17C4
cosocleC2×C4×C17C25
hypercenter#2965D17
hypocenterC17C2×#2965
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C42 ◁ #2965

2286 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1088

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1034003);