Finite Group Databasebeta

C2×#13094011 #15689639

order3008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C24×C4

Aliases

direct productC2×#13094011

Splittings

SylowC47 ⋊ C2×#124

Subgroups

subgroupG/H
centerC23C22×D47
commutator, cosocleC22×C47C24
FrattiniC22C23×D47
Fitting, prime radicalC22×D4×C47C2
socleC23×C47C23
hypercenterC22×D4D47
hypocenterC47C2×#124
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C22×D4

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1504

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3008, 1065);