Finite Group Databasebeta

C2×#13092797 #15683813

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

Aliases

direct productC2×#13092797

Splittings

SylowC23 ⋊ C2×#494

Subgroups

subgroupG/H
centerC23C2×D92
commutator, cosocleC2×C4×C23C24
FrattiniC2×C4C23×D23
FittingC2×C4×C8×C23C2
socle, prime radicalC23×C23C2×D4
hypercenterC2×C4×C8D23
hypocenterC23C2×#494
LCSG ▷ C2×C4×C23 ▷ C2×C23 ▷ C23
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C4×C8

552 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2944

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 14926);