Finite Group Databasebeta

C2×#13092192 #15674986

order2944
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23

Aliases

direct productC2×#13092192

Splittings

SylowC23 ⋊ C2×#346

Subgroups

subgroupG/H
centerC22×C8C2×D23
commutatorC2×C23C2×C4×C8
FrattiniC2×C8C22×D23
FittingC22×C16×C23C2
socle, prime radicalC23×C23C2×C8
cosocleC2×C8×C23C23
hypercenterC22×C16D23
hypocenterC23C2×#346
LCSG ▷ C2×C23 ▷ C23
UCSC1 ◁ C22×C8 ◁ C22×C16

200 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2944

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 6099);