Finite Group Databasebeta

C2×#13092292 #15675810

order2944
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C27

Aliases

direct productC2×#13092292

Splittings

SylowC23 ⋊ C2×#385

Subgroups

subgroupG/H
centerC24C22×D23
commutatorC22×C23C23×C4
FrattiniC23C23×D23
FittingC22×C22⋊C4×C23C2
socleC24×C23C23
prime radicalC25×C23C22
cosocleC23×C23C24
hypercenterC22×C22⋊C4D23
hypocenterC23C2×#385
LCSG ▷ C22×C23 ▷ C23
UCSC1 ◁ C24 ◁ C22×C22⋊C4

1232 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1472

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 6923);