Finite Group Databasebeta

C2×#13092346 #15676625

order2944
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct productC2×#13092346

Splittings

FittingC2×C23×#95 ⋊ C2
SylowC23 ⋊ C2×#397

Subgroups

subgroupG/H
centerC24C22×D23
commutator, cosocleC23×C23C24
FrattiniC23C23×D23
FittingC2×C23×#95C2
socleC24×C23C23
prime radicalC24×D23C22
hypercenterC2×#95D23
hypocenterC23C2×#397
LCSG ▷ C23×C23 ▷ C23
UCSC1 ◁ C24 ◁ C2×#95

820 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1472

Conjugacy classes & character table

484 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 7738);