Finite Group Databasebeta

#3293×D79 #35164496

order20224
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct product#3293×D79

Splittings

FittingC79×#3293 ⋊ C2
SylowC79 ⋊ C2×#3293

Subgroups

subgroupG/H
centerC2D42×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3293C2
socleC2×C79C2×D42
hypercenter#3293D79
hypocenterC79C2×#3293
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C2 ◁ C2×C4 ◁ #3293

2598 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2528

Conjugacy classes & character table

1189 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20224, 1045795);