Finite Group Databasebeta

#1962×D79 #34291987

order20224
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4

Aliases

direct product#1962×D79

Splittings

FittingC79×#1962 ⋊ C2
SylowC79 ⋊ C2×#1962

Subgroups

subgroupG/H
centerC2×C4C2×D4×D79
commutatorC2×C4×C79C23×C4
FrattiniC22×C4C23×D79
FittingC79×#1962C2
socleC22×C79C22×C22⋊C4
prime radical#532×D79C2
cosocleC22×C4×C79C24
hypercenter#1962D79
hypocenterC79C2×#1962
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1962

1878 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2528

Conjugacy classes & character table

1804 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20224, 173286);