Finite Group Databasebeta

#2064×D67 #30884367

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

Aliases

direct product#2064×D67

Splittings

FittingC67×#2064 ⋊ C2
SylowC67 ⋊ C2×#2064

Subgroups

subgroupG/H
centerC22#121×D67
commutator, cosocleC22×C4×C67C24
FrattiniC22×C4C23×D67
FittingC67×#2064C2
socleC22×C67C2×#121
prime radicalC23×D67#41
hypercenter#2064D67
hypocenterC67C2×#2064
LCSG ▷ C22×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ C22×C4 ◁ #2064

1006 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 4288

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, 198104);