Finite Group Databasebeta

D17×#3428 #17940916

order4352
automorphism?
homologyAbelianization (H1) = C25×C4 · Schur multiplier (H2) = C214

Aliases

direct productD17×#3428

Splittings

FittingC17×#3428 ⋊ C2
SylowC17 ⋊ C2×#3428

Subgroups

subgroupG/H
centerC2×C4C24×D17
commutatorC2×C17C25×C4
FrattiniC22C25×D17
FittingC17×#3428C2
socle, cosocleC22×C17C26
prime radicalC22×#41×D17C2
hypercenter#3428D17
hypocenterC17C2×#3428
LCSG ▷ C2×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ #3428

11534 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 544

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1076160);