Finite Group Databasebeta

C4×Dic202 #15692221

order3232
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C22

Aliases

direct productC4×Dic202

Splittings

SylowC101 ⋊ C4×Q8

Subgroups

subgroupG/H
centerC2×C4C2×D101
commutatorC2×C101C22×C4
FrattiniC22C22×D101
FittingC42×C101C2
socle, prime radical, cosocleC22×C101C23
hypercenterC42D101
hypocenterC101C4×Q8
LCSG ▷ C2×C101 ▷ C101
UCSC1 ◁ C2×C4 ◁ C42

70 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3232

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3232, 112);