Finite Group Databasebeta

C2×#13094031 #15689886

order3008
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC2×#13094031

Splittings

SylowC47 ⋊ C2×#131

Subgroups

subgroupG/H
centerC2×C4C22×D47
commutatorC2×C47C23×C4
FrattiniC4C23×D47
Fitting, prime radicalC2×#41×C47C2
socleC22×C47C22×C4
cosocleC4×C47C24
hypercenterC2×#41D47
hypocenterC47C2×#131
LCSG ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ C2×#41

266 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1504

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3008, 1312);