Finite Group Databasebeta

#41×#63242 #17979858

order4352
automorphism?
homologyAbelianization (H1) = C24×C8 · Schur multiplier (H2) = C29

Aliases

direct product#41×#63242

Splittings

SylowC17 ⋊ C2×C8×#41

Subgroups

subgroupG/H
centerC42C22×#595
commutatorC2×C17C24×C8
FrattiniC22C24×#595
FittingC4×#41×C17C4
socleC22×C17C24×C4
prime radicalC2×#41×D17C4
cosocleC2×Dic17C25
hypercenterC4×#41#595
hypocenterC17C2×C8×#41
LCSG ▷ C2×C17 ▷ C17
UCSC1 ◁ C42 ◁ C4×#41

2566 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1088

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 1115102);