Finite Group Databasebeta

C2×#28408974 #44402989

order29056
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productC2×#28408974

Splittings

SylowC227 ⋊ C2×#400

Subgroups

subgroupG/H
centerC24C22×D227
commutator, cosocleC23×C227C24
FrattiniC23C23×D227
FittingC2×#95×C227C2
socle, prime radicalC24×C227C23
hypercenterC2×#95D227
hypocenterC227C2×#400
LCSG ▷ C23×C227 ▷ C227
UCSC1 ◁ C24 ◁ C2×#95

604 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 29056

Conjugacy classes & character table

4564 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29056, 7765);