Finite Group Databasebeta

D17×#1445 #16956041

order4352
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C28

Aliases

direct productD17×#1445

Splittings

FittingC17×#1445 ⋊ C2
SylowC17 ⋊ C2×#1445

Subgroups

subgroupG/H
center, FrattiniC24C23×D17
commutatorC23×C17C23×C4
FittingC17×#1445C2
socle, cosocleC24×C17C24
prime radicalC24×D17C23
hypercenter#1445D17
hypocenterC17C2×#1445
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C24 ◁ #1445

2942 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2176

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 91285);