Finite Group Databasebeta

C22×#10625041 #15686650

order2944
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct productC22×#10625041

Splittings

SylowC23 ⋊ C22×#125

Subgroups

subgroupG/H
centerC24C22×D23
commutator, cosocleC22×C23C25
FrattiniC22C24×D23
FittingC22×C42×C23C2
socle, prime radicalC24×C23C23
hypercenterC22×C42D23
hypocenterC23C22×#125
LCSG ▷ C22×C23 ▷ C23
UCSC1 ◁ C24 ◁ C22×C42

1192 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2944

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 17763);