Finite Group Databasebeta

C2×#30659015 #45685221

order33248
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×#30659015

Splittings

SylowC1039 ⋊ C2×SD16

Subgroups

subgroupG/H
centerC22C22⋊D1039
commutator, cosocleC4×C1039C23
FrattiniC4C22×D1039
Fitting, prime radicalC2×D4×C1039C2
socleC22×C1039D4
hypercenterC2×D4D1039
hypocenterC1039C2×SD16
LCSG ▷ C4×C1039 ▷ C2×C1039 ▷ C1039
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×D4

68 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 16624

Conjugacy classes & character table

5204 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33248, 160);