Finite Group Databasebeta

#3260×D67 #31728772

order17152
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct product#3260×D67

Splittings

FittingC67×#3260 ⋊ C2
SylowC67 ⋊ C2×#3260

Subgroups

subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3260C2
socleC22×C67C23×D4
prime radical#540×D67C2
hypercenter#3260D67
hypocenterC67C2×#3260
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ #117 ◁ #3260

1882 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, 1042509);