Finite Group Databasebeta

C3×#10587486 #13108758

order1632
automorphism?
homologyAbelianization (H1) = C3×C42 · Schur multiplier (H2) = C2

Aliases

direct productC3×#10587486

Splittings

HallC3×C17 ⋊ #97
SylowC17 ⋊ C3×#97

Subgroups

subgroupG/H
centerC2×C3×C4C2×D17
commutatorC2×C17C3×C42
FrattiniC2×C4C2×C3×D17
FittingC2×C3×C8×C17C2
socle, prime radicalC22×C3×C17C2×C4
cosocleC2×C4×C17C22×C3
hypercenterC2×C3×C8D17
hypocenterC17C3×#97
LCSG ▷ C2×C17 ▷ C17
UCSC1 ◁ C2×C3×C4 ◁ C2×C3×C8

80 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1632

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1632, 93);