Finite Group Databasebeta

C4×D604 #18012703

order4832
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C23

Aliases

direct productC4×D604

Splittings

FittingC42×C151 ⋊ C2
SylowC151 ⋊ C4×D4

Subgroups

subgroupG/H
centerC2×C4C2×D151
commutatorC2×C151C22×C4
FrattiniC22C22×D151
FittingC42×C151C2
socle, cosocleC22×C151C23
prime radicalC2×D604C2
hypercenterC42D151
hypocenterC151C4×D4
LCSG ▷ C2×C151 ▷ C151
UCSC1 ◁ C2×C4 ◁ C42

94 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2416

Conjugacy classes & character table

1220 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4832, 110);