Finite Group Databasebeta

#2061×D67 #30883932

order17152
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct product#2061×D67

Splittings

FittingC67×#2061 ⋊ C2
SylowC67 ⋊ C2×#2061

Subgroups

subgroupG/H
centerC22#120×D67
commutator, cosocleC22×C4×C67C24
FrattiniC22×C4C23×D67
FittingC67×#2061C2
socleC22×C67C2×#120
prime radicalC23×D67C2×D4
hypercenter#2061D67
hypocenterC67C2×#2061
LCSG ▷ C22×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ C22×C4 ◁ #2061

1130 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2144

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17152, 197669);