Finite Group Databasebeta

C2×#14556666 #17989644

order4672
automorphism?
homologyAbelianization (H1) = C22×C8 · Schur multiplier (H2) = C22

Aliases

direct productC2×#14556666

Splittings

SylowC73 ⋊ C2×M32

Subgroups

subgroupG/H
centerC2×C4C2×#64408
commutatorC2×C73C22×C8
FrattiniC4C22×#64408
FittingC2×C8×C73C4
socleC22×C73C2×C8
prime radicalC22×D73C8
cosocle#10596831C23
hypercenterC2×C8#64408
hypocenterC73C2×M32
LCSG ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C2×C8

90 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2336

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4672, 1606);