Finite Group Databasebeta

#2082×D67 #30884772

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

Aliases

direct product#2082×D67

Splittings

FittingC67×#2082 ⋊ C2
SylowC67 ⋊ C2×#2082

Subgroups

subgroupG/H
centerC2#397×D67
commutator, cosocleC22×C4×C67C24
FrattiniC22×C4C23×D67
FittingC67×#2082C2
socleC2×C67C2×#397
prime radicalC23×D67#41
hypercenter#2082D67
hypocenterC67C2×#2082
LCSG ▷ C22×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C2 ◁ C22×C4 ◁ #2082

878 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2144

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17152, 198509);