Finite Group Databasebeta

C2×#26039936 #37526430

order22976
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C24

Aliases

direct productC2×#26039936

Splittings

SylowC359 ⋊ C2×#102

Subgroups

subgroupG/H
centerC23C22⋊D359
commutatorC4×C359C22×C4
FrattiniC2×C4C22×D359
Fitting, prime radicalC22×D4×C359C2
socleC23×C359D4
cosocleC2×C4×C359C23
hypercenterC22×D4D359
hypocenterC359C2×#102
LCSG ▷ C4×C359 ▷ C2×C359 ▷ C359
UCSC1 ◁ C23 ◁ C22×C4 ◁ C22×D4

202 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, 536);