Finite Group Databasebeta

C2×#13063316 #14583420

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

Aliases

direct productC2×#13063316

Splittings

SylowC43 ⋊ C2×#125

Subgroups

subgroupG/H
centerC23C22×D43
commutator, cosocleC22×C43C24
FrattiniC22C23×D43
FittingC2×C4⋊C4×C43C2
socle, prime radicalC23×C43C23
hypercenterC2×C4⋊C4D43
hypocenterC43C2×#125
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C4⋊C4

226 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2752

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, 1070);