Finite Group Databasebeta

C2×#26040002 #37526959

order22976
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C24×C4

Aliases

direct productC2×#26040002

Splittings

SylowC359 ⋊ C2×#124

Subgroups

subgroupG/H
centerC23C22×D359
commutator, cosocleC22×C359C24
FrattiniC22C23×D359
Fitting, prime radicalC22×D4×C359C2
socleC23×C359C23
hypercenterC22×D4D359
hypocenterC359C2×#124
LCSG ▷ C22×C359 ▷ C359
UCSC1 ◁ C23 ◁ C22×D4

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 11488

Conjugacy classes & character table

3608 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22976, 1065);