Finite Group Databasebeta

C2×#13092970 #15686684

order2944
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct productC2×#13092970

Splittings

SylowC23 ⋊ C2×#533

Subgroups

subgroupG/H
centerC22×C4C22×D23
commutator, cosocleC22×C23C25
FrattiniC22C24×D23
FittingC2×C23×#117C2
socleC23×C23C24
prime radicalC24×C23C23
hypercenterC2×#117D23
hypocenterC23C2×#533
LCSG ▷ C22×C23 ▷ C23
UCSC1 ◁ C22×C4 ◁ C2×#117

1168 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, 17797);