Finite Group Databasebeta

C2×#26040022 #37527206

order22976
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC2×#26040022

Splittings

SylowC359 ⋊ C2×#131

Subgroups

subgroupG/H
centerC2×C4C22×D359
commutatorC2×C359C23×C4
FrattiniC4C23×D359
Fitting, prime radicalC2×#41×C359C2
socleC22×C359C22×C4
cosocleC4×C359C24
hypercenterC2×#41D359
hypocenterC359C2×#131
LCSG ▷ C2×C359 ▷ C359
UCSC1 ◁ C2×C4 ◁ C2×#41

266 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 11488

Conjugacy classes & character table

3620 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22976, 1312);