Finite Group Databasebeta

C2×#13092294 #15675813

order2944
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C28

Aliases

direct productC2×#13092294

Splittings

FittingC22×C22⋊C4×C23 ⋊ C2
SylowC23 ⋊ C2×#386

Subgroups

subgroupG/H
centerC24C22×D23
commutatorC22×C23C23×C4
FrattiniC23C23×D23
FittingC22×C22⋊C4×C23C2
socleC24×C23C23
prime radicalC23×C22⋊D23C2
cosocleC23×C23C24
hypercenterC22×C22⋊C4D23
hypocenterC23C2×#386
LCSG ▷ C22×C23 ▷ C23
UCSC1 ◁ C24 ◁ C22×C22⋊C4

1576 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, 6926);