Finite Group Databasebeta

C2×#13092297 #15675816

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

Aliases

direct productC2×#13092297

Splittings

SylowC23 ⋊ C2×#386

Subgroups

subgroupG/H
centerC24C22×D23
commutatorC22×C23C23×C4
FrattiniC23C23×D23
Fitting, prime radicalC23×D4×C23C2
socleC24×C23C23
cosocleC23×C23C24
hypercenterC23×D4D23
hypocenterC23C2×#386
LCSG ▷ C22×C23 ▷ C23
UCSC1 ◁ C24 ◁ C23×D4

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, 6929);