Finite Group Databasebeta

C2×#13092177 #15673103

order2944
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C24

Aliases

direct productC2×#13092177

Splittings

SylowC23 ⋊ C2×#339

Subgroups

subgroupG/H
centerC22×C4D92
commutatorC4×C23C2×C42
FrattiniC22×C4C22×D23
FittingC22×C42×C23C2
socleC23×C23C22⋊C4
prime radicalC24×C23D4
cosocleC22×C4×C23C23
hypercenterC22×C42D23
hypocenterC23C2×#339
LCSG ▷ C4×C23 ▷ C2×C23 ▷ C23
UCSC1 ◁ C22×C4 ◁ C23×C4 ◁ C22×C42

488 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 736

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, 4216);