Finite Group Databasebeta

C4×D404 #15692219

order3232
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C23

Aliases

direct productC4×D404

Splittings

FittingC42×C101 ⋊ C2
SylowC101 ⋊ C4×D4

Subgroups

subgroupG/H
centerC2×C4C2×D101
commutatorC2×C101C22×C4
FrattiniC22C22×D101
FittingC42×C101C2
socle, cosocleC22×C101C23
prime radicalC2×D404C2
hypercenterC42D101
hypocenterC101C4×D4
LCSG ▷ C2×C101 ▷ C101
UCSC1 ◁ C2×C4 ◁ C42

94 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1616

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, 110);