Finite Group Databasebeta

C2×#30659763 #45688390

order33344
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C23

Aliases

direct productC2×#30659763

Splittings

SylowC521 ⋊ C2×#97

Subgroups

subgroupG/H
centerC23C2×#14523438
commutatorC2×C521C2×C42
FrattiniC22C22×#14523438
FittingC22×C4×C521C4
socle, prime radicalC23×C521C2×C4
cosocleC2×Dic521C23
hypercenterC22×C4#14523438
hypocenterC521C2×#97
LCSG ▷ C2×C521 ▷ C521
UCSC1 ◁ C23 ◁ C22×C4

146 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 33344

Conjugacy classes & character table

2120 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33344, 1507);