Finite Group Databasebeta

#1962×D67 #30859549

order17152
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4

Aliases

direct product#1962×D67

Splittings

FittingC67×#1962 ⋊ C2
SylowC67 ⋊ C2×#1962

Subgroups

subgroupG/H
centerC2×C4C2×D4×D67
commutatorC2×C4×C67C23×C4
FrattiniC22×C4C23×D67
FittingC67×#1962C2
socleC22×C67C22×C22⋊C4
prime radical#532×D67C2
cosocleC22×C4×C67C24
hypercenter#1962D67
hypocenterC67C2×#1962
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1962

1878 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2144

Conjugacy classes & character table

1540 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17152, 173286);