Finite Group Databasebeta

C2×#13063312 #14583415

order2752
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C24×C4

Aliases

direct productC2×#13063312

Splittings

SylowC43 ⋊ C2×#124

Subgroups

subgroupG/H
centerC23C22×D43
commutator, cosocleC22×C43C24
FrattiniC22C23×D43
Fitting, prime radicalC22×D4×C43C2
socleC23×C43C23
hypercenterC22×D4D43
hypocenterC43C2×#124
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C22×D4

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1376

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2752, 1065);