Finite Group Databasebeta

C2×#13092545 #15682322

order2944
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C24

Aliases

direct productC2×#13092545

Splittings

SylowC23 ⋊ C2×#446

Subgroups

subgroupG/H
centerC22×C4C22×D23
commutatorC22×C23C23×C4
FrattiniC2×C4C23×D23
FittingC2×C23×#97C2
socle, prime radicalC23×C23C22×C4
cosocleC2×C4×C23C24
hypercenterC2×#97D23
hypocenterC23C2×#446
LCSG ▷ C22×C23 ▷ C23
UCSC1 ◁ C22×C4 ◁ C2×#97

400 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2944

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, 13435);